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Simplifying -7 = 3(q + -5) + -9 Reorder the terms: -7 = 3(-5 + q) + -9 -7 = (-5 * 3 + q * 3) + -9 -7 = (-15 + 3q) + -9 Reorder the terms: -7 = -15 + -9 + 3q Combine like terms: -15 + -9 = -24 -7 = -24 + 3q Solving -7 = -24 + 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. -7 + -3q = -24 + 3q + -3q Combine like terms: 3q + -3q = 0 -7 + -3q = -24 + 0 -7 + -3q = -24 Add '7' to each side of the equation. -7 + 7 + -3q = -24 + 7 Combine like terms: -7 + 7 = 0 0 + -3q = -24 + 7 -3q = -24 + 7 Combine like terms: -24 + 7 = -17 -3q = -17 Divide each side by '-3'. q = 5.666666667 Simplifying q = 5.666666667
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