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Simplifying 8q + -3(q + 6) = 8q Reorder the terms: 8q + -3(6 + q) = 8q 8q + (6 * -3 + q * -3) = 8q 8q + (-18 + -3q) = 8q Reorder the terms: -18 + 8q + -3q = 8q Combine like terms: 8q + -3q = 5q -18 + 5q = 8q Solving -18 + 5q = 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. -18 + 5q + -8q = 8q + -8q Combine like terms: 5q + -8q = -3q -18 + -3q = 8q + -8q Combine like terms: 8q + -8q = 0 -18 + -3q = 0 Add '18' to each side of the equation. -18 + 18 + -3q = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -3q = 0 + 18 -3q = 0 + 18 Combine like terms: 0 + 18 = 18 -3q = 18 Divide each side by '-3'. q = -6 Simplifying q = -6
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