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Simplifying 3(5 + 2) = 2(3q + -6) Combine like terms: 5 + 2 = 7 3(7) = 2(3q + -6) Multiply 3 * 7 21 = 2(3q + -6) Reorder the terms: 21 = 2(-6 + 3q) 21 = (-6 * 2 + 3q * 2) 21 = (-12 + 6q) Solving 21 = -12 + 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. 21 + -6q = -12 + 6q + -6q Combine like terms: 6q + -6q = 0 21 + -6q = -12 + 0 21 + -6q = -12 Add '-21' to each side of the equation. 21 + -21 + -6q = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -6q = -12 + -21 -6q = -12 + -21 Combine like terms: -12 + -21 = -33 -6q = -33 Divide each side by '-6'. q = 5.5 Simplifying q = 5.5
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