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Simplifying -1(5q + 6) = 2(3q + 8) Reorder the terms: -1(6 + 5q) = 2(3q + 8) (6 * -1 + 5q * -1) = 2(3q + 8) (-6 + -5q) = 2(3q + 8) Reorder the terms: -6 + -5q = 2(8 + 3q) -6 + -5q = (8 * 2 + 3q * 2) -6 + -5q = (16 + 6q) Solving -6 + -5q = 16 + 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. -6 + -5q + -6q = 16 + 6q + -6q Combine like terms: -5q + -6q = -11q -6 + -11q = 16 + 6q + -6q Combine like terms: 6q + -6q = 0 -6 + -11q = 16 + 0 -6 + -11q = 16 Add '6' to each side of the equation. -6 + 6 + -11q = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11q = 16 + 6 -11q = 16 + 6 Combine like terms: 16 + 6 = 22 -11q = 22 Divide each side by '-11'. q = -2 Simplifying q = -2
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