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Simplifying -5(q + 3) + -1 = 9 + 3q Reorder the terms: -5(3 + q) + -1 = 9 + 3q (3 * -5 + q * -5) + -1 = 9 + 3q (-15 + -5q) + -1 = 9 + 3q Reorder the terms: -15 + -1 + -5q = 9 + 3q Combine like terms: -15 + -1 = -16 -16 + -5q = 9 + 3q Solving -16 + -5q = 9 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -16 + -5q + -3q = 9 + 3q + -3q Combine like terms: -5q + -3q = -8q -16 + -8q = 9 + 3q + -3q Combine like terms: 3q + -3q = 0 -16 + -8q = 9 + 0 -16 + -8q = 9 Add '16' to each side of the equation. -16 + 16 + -8q = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -8q = 9 + 16 -8q = 9 + 16 Combine like terms: 9 + 16 = 25 -8q = 25 Divide each side by '-8'. q = -3.125 Simplifying q = -3.125
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