-3(q-4)+15=-15(q-7)-10

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Solution for -3(q-4)+15=-15(q-7)-10 equation:


Simplifying
-3(q + -4) + 15 = -15(q + -7) + -10

Reorder the terms:
-3(-4 + q) + 15 = -15(q + -7) + -10
(-4 * -3 + q * -3) + 15 = -15(q + -7) + -10
(12 + -3q) + 15 = -15(q + -7) + -10

Reorder the terms:
12 + 15 + -3q = -15(q + -7) + -10

Combine like terms: 12 + 15 = 27
27 + -3q = -15(q + -7) + -10

Reorder the terms:
27 + -3q = -15(-7 + q) + -10
27 + -3q = (-7 * -15 + q * -15) + -10
27 + -3q = (105 + -15q) + -10

Reorder the terms:
27 + -3q = 105 + -10 + -15q

Combine like terms: 105 + -10 = 95
27 + -3q = 95 + -15q

Solving
27 + -3q = 95 + -15q

Solving for variable 'q'.

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

Add '15q' to each side of the equation.
27 + -3q + 15q = 95 + -15q + 15q

Combine like terms: -3q + 15q = 12q
27 + 12q = 95 + -15q + 15q

Combine like terms: -15q + 15q = 0
27 + 12q = 95 + 0
27 + 12q = 95

Add '-27' to each side of the equation.
27 + -27 + 12q = 95 + -27

Combine like terms: 27 + -27 = 0
0 + 12q = 95 + -27
12q = 95 + -27

Combine like terms: 95 + -27 = 68
12q = 68

Divide each side by '12'.
q = 5.666666667

Simplifying
q = 5.666666667

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