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Simplifying -3 = 3(q + -9) + -6 Reorder the terms: -3 = 3(-9 + q) + -6 -3 = (-9 * 3 + q * 3) + -6 -3 = (-27 + 3q) + -6 Reorder the terms: -3 = -27 + -6 + 3q Combine like terms: -27 + -6 = -33 -3 = -33 + 3q Solving -3 = -33 + 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. -3 + -3q = -33 + 3q + -3q Combine like terms: 3q + -3q = 0 -3 + -3q = -33 + 0 -3 + -3q = -33 Add '3' to each side of the equation. -3 + 3 + -3q = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -3q = -33 + 3 -3q = -33 + 3 Combine like terms: -33 + 3 = -30 -3q = -30 Divide each side by '-3'. q = 10 Simplifying q = 10
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