Solve for t 0.06(4t-3)=0.24(t+2)-0.66

$0.06 (4 t - 3) = 0.24 (t + 2) - 0.66$

Simplify $0.06 (4 t - 3)$ .

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Apply the distributive property.

$0.06 (4 t) + 0.06 \cdot - 3 = 0.24 (t + 2) - 0.66$

Multiply.

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Multiply $4$ by $0.06$ .

$0.24 t + 0.06 \cdot - 3 = 0.24 (t + 2) - 0.66$

Multiply $0.06$ by $- 3$ .

$0.24 t - 0.18 = 0.24 (t + 2) - 0.66$

Simplify $0.24 (t + 2) - 0.66$ .

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Simplify each term.

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Apply the distributive property.

$0.24 t - 0.18 = 0.24 t + 0.24 \cdot 2 - 0.66$

Multiply $0.24$ by $2$ .

$0.24 t - 0.18 = 0.24 t + 0.48 - 0.66$

Subtract $0.66$ from $0.48$ .

$0.24 t - 0.18 = 0.24 t - 0.18$

Move all terms containing $t$ to the left side of the equation.

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Subtract $0.24 t$ from both sides of the equation.

$0.24 t - 0.18 - 0.24 t = - 0.18$

Subtract $0.24 t$ from $0.24 t$ .

$0 t - 0.18 = - 0.18$

Multiply $0$ by $t$ .

$0 - 0.18 = - 0.18$

Subtract $0.18$ from $0$ .

$- 0.18 = - 0.18$

Since $- 0.18 = - 0.18$ , the equation will always be true for any value of $t$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$

Solve for t 0.06(4t-3)=0.24(t+2)-0.66