q+24=8(q+7)

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Solution for q+24=8(q+7) equation:


Simplifying
q + 24 = 8(q + 7)

Reorder the terms:
24 + q = 8(q + 7)

Reorder the terms:
24 + q = 8(7 + q)
24 + q = (7 * 8 + q * 8)
24 + q = (56 + 8q)

Solving
24 + q = 56 + 8q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-8q' to each side of the equation.
24 + q + -8q = 56 + 8q + -8q

Combine like terms: q + -8q = -7q
24 + -7q = 56 + 8q + -8q

Combine like terms: 8q + -8q = 0
24 + -7q = 56 + 0
24 + -7q = 56

Add '-24' to each side of the equation.
24 + -24 + -7q = 56 + -24

Combine like terms: 24 + -24 = 0
0 + -7q = 56 + -24
-7q = 56 + -24

Combine like terms: 56 + -24 = 32
-7q = 32

Divide each side by '-7'.
q = -4.571428571

Simplifying
q = -4.571428571

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