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Simplifying 3q + -16q = (7 + 2) + -1(8q + -3) Combine like terms: 3q + -16q = -13q -13q = (7 + 2) + -1(8q + -3) Combine like terms: 7 + 2 = 9 -13q = (9) + -1(8q + -3) -13q = 9 + -1(8q + -3) Reorder the terms: -13q = 9 + -1(-3 + 8q) -13q = 9 + (-3 * -1 + 8q * -1) -13q = 9 + (3 + -8q) Combine like terms: 9 + 3 = 12 -13q = 12 + -8q Solving -13q = 12 + -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. -13q + 8q = 12 + -8q + 8q Combine like terms: -13q + 8q = -5q -5q = 12 + -8q + 8q Combine like terms: -8q + 8q = 0 -5q = 12 + 0 -5q = 12 Divide each side by '-5'. q = -2.4 Simplifying q = -2.4
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