8(q+2)+3(q-2)=76

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Solution for 8(q+2)+3(q-2)=76 equation: 


Simplifying
8(q + 2) + 3(q + -2) = 76

Reorder the terms:
8(2 + q) + 3(q + -2) = 76
(2 * 8 + q * 8) + 3(q + -2) = 76
(16 + 8q) + 3(q + -2) = 76

Reorder the terms:
16 + 8q + 3(-2 + q) = 76
16 + 8q + (-2 * 3 + q * 3) = 76
16 + 8q + (-6 + 3q) = 76

Reorder the terms:
16 + -6 + 8q + 3q = 76

Combine like terms: 16 + -6 = 10
10 + 8q + 3q = 76

Combine like terms: 8q + 3q = 11q
10 + 11q = 76

Solving
10 + 11q = 76

Solving for variable 'q'.

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

Add '-10' to each side of the equation.
10 + -10 + 11q = 76 + -10

Combine like terms: 10 + -10 = 0
0 + 11q = 76 + -10
11q = 76 + -10

Combine like terms: 76 + -10 = 66
11q = 66

Divide each side by '11'.
q = 6

Simplifying
q = 6

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