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Simplifying 3(q + 18) = 21 + -3(q + 5) Reorder the terms: 3(18 + q) = 21 + -3(q + 5) (18 * 3 + q * 3) = 21 + -3(q + 5) (54 + 3q) = 21 + -3(q + 5) Reorder the terms: 54 + 3q = 21 + -3(5 + q) 54 + 3q = 21 + (5 * -3 + q * -3) 54 + 3q = 21 + (-15 + -3q) Combine like terms: 21 + -15 = 6 54 + 3q = 6 + -3q Solving 54 + 3q = 6 + -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. 54 + 3q + 3q = 6 + -3q + 3q Combine like terms: 3q + 3q = 6q 54 + 6q = 6 + -3q + 3q Combine like terms: -3q + 3q = 0 54 + 6q = 6 + 0 54 + 6q = 6 Add '-54' to each side of the equation. 54 + -54 + 6q = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 6q = 6 + -54 6q = 6 + -54 Combine like terms: 6 + -54 = -48 6q = -48 Divide each side by '6'. q = -8 Simplifying q = -8
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