6(q-7)-3(4-q)=16

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Solution for 6(q-7)-3(4-q)=16 equation: 


Simplifying
6(q + -7) + -3(4 + -1q) = 16

Reorder the terms:
6(-7 + q) + -3(4 + -1q) = 16
(-7 * 6 + q * 6) + -3(4 + -1q) = 16
(-42 + 6q) + -3(4 + -1q) = 16
-42 + 6q + (4 * -3 + -1q * -3) = 16
-42 + 6q + (-12 + 3q) = 16

Reorder the terms:
-42 + -12 + 6q + 3q = 16

Combine like terms: -42 + -12 = -54
-54 + 6q + 3q = 16

Combine like terms: 6q + 3q = 9q
-54 + 9q = 16

Solving
-54 + 9q = 16

Solving for variable 'q'.

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

Add '54' to each side of the equation.
-54 + 54 + 9q = 16 + 54

Combine like terms: -54 + 54 = 0
0 + 9q = 16 + 54
9q = 16 + 54

Combine like terms: 16 + 54 = 70
9q = 70

Divide each side by '9'.
q = 7.777777778

Simplifying
q = 7.777777778

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