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Simplifying -4(-2q + 8) = -6(q + -18) + 12q Reorder the terms: -4(8 + -2q) = -6(q + -18) + 12q (8 * -4 + -2q * -4) = -6(q + -18) + 12q (-32 + 8q) = -6(q + -18) + 12q Reorder the terms: -32 + 8q = -6(-18 + q) + 12q -32 + 8q = (-18 * -6 + q * -6) + 12q -32 + 8q = (108 + -6q) + 12q Combine like terms: -6q + 12q = 6q -32 + 8q = 108 + 6q Solving -32 + 8q = 108 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -32 + 8q + -6q = 108 + 6q + -6q Combine like terms: 8q + -6q = 2q -32 + 2q = 108 + 6q + -6q Combine like terms: 6q + -6q = 0 -32 + 2q = 108 + 0 -32 + 2q = 108 Add '32' to each side of the equation. -32 + 32 + 2q = 108 + 32 Combine like terms: -32 + 32 = 0 0 + 2q = 108 + 32 2q = 108 + 32 Combine like terms: 108 + 32 = 140 2q = 140 Divide each side by '2'. q = 70 Simplifying q = 70
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