Solve for z 1.5(z+8)=3.0+0.6z

1.5(z+8)=3+0.6z

Simplify 1.5(z+8).

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Apply the distributive property.

1.5z+1.5⋅8=3+0.6z

Multiply 1.5 by 8.

1.5z+12=3+0.6z

Move all terms containing z to the left side of the equation.

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Subtract 0.6z from both sides of the equation.

1.5z+12-0.6z=3

Subtract 0.6z from 1.5z.

0.9z+12=3

Move all terms not containing z to the right side of the equation.

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Subtract 12 from both sides of the equation.

0.9z=3-12

Subtract 12 from 3.

0.9z=-9

Divide each term by 0.9 and simplify.

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Divide each term in 0.9z=-9 by 0.9.

0.9z0.9=-90.9

Cancel the common factor of 0.9.

z=-90.9

Divide -9 by 0.9.

z=-10

Solve for z 1.5(z+8)=3.0+0.6z