Solve for t 2=(6t)/(40+t)

Math
2=6t40+t
Rewrite the equation as 6t40+t=2.
6t40+t=2
Solve for t.
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Multiply each term by 40+t and simplify.
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Multiply each term in 6t40+t=2 by 40+t.
6t40+t⋅(40+t)=2⋅(40+t)
Cancel the common factor of 40+t.
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Cancel the common factor.
6t40+t⋅(40+t)=2⋅(40+t)
Rewrite the expression.
6t=2⋅(40+t)
6t=2⋅(40+t)
Simplify 2⋅(40+t).
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Apply the distributive property.
6t=2⋅40+2t
Multiply 2 by 40.
6t=80+2t
6t=80+2t
6t=80+2t
Move all terms containing t to the left side of the equation.
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Subtract 2t from both sides of the equation.
6t-2t=80
Subtract 2t from 6t.
4t=80
4t=80
Divide each term by 4 and simplify.
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Divide each term in 4t=80 by 4.
4t4=804
Cancel the common factor of 4.
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Cancel the common factor.
4t4=804
Divide t by 1.
t=804
t=804
Divide 80 by 4.
t=20
t=20
t=20
Solve for t 2=(6t)/(40+t)

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