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Simplifying 27 = 3(q + -12) * 2 Reorder the terms: 27 = 3(-12 + q) * 2 Reorder the terms for easier multiplication: 27 = 3 * 2(-12 + q) Multiply 3 * 2 27 = 6(-12 + q) 27 = (-12 * 6 + q * 6) 27 = (-72 + 6q) Solving 27 = -72 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 27 + -6q = -72 + 6q + -6q Combine like terms: 6q + -6q = 0 27 + -6q = -72 + 0 27 + -6q = -72 Add '-27' to each side of the equation. 27 + -27 + -6q = -72 + -27 Combine like terms: 27 + -27 = 0 0 + -6q = -72 + -27 -6q = -72 + -27 Combine like terms: -72 + -27 = -99 -6q = -99 Divide each side by '-6'. q = 16.5 Simplifying q = 16.5
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