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Simplifying 12 = 3(q + -15) Reorder the terms: 12 = 3(-15 + q) 12 = (-15 * 3 + q * 3) 12 = (-45 + 3q) Solving 12 = -45 + 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. 12 + -3q = -45 + 3q + -3q Combine like terms: 3q + -3q = 0 12 + -3q = -45 + 0 12 + -3q = -45 Add '-12' to each side of the equation. 12 + -12 + -3q = -45 + -12 Combine like terms: 12 + -12 = 0 0 + -3q = -45 + -12 -3q = -45 + -12 Combine like terms: -45 + -12 = -57 -3q = -57 Divide each side by '-3'. q = 19 Simplifying q = 19
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