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Simplifying 6(q + 13) = 4(q + 15) Reorder the terms: 6(13 + q) = 4(q + 15) (13 * 6 + q * 6) = 4(q + 15) (78 + 6q) = 4(q + 15) Reorder the terms: 78 + 6q = 4(15 + q) 78 + 6q = (15 * 4 + q * 4) 78 + 6q = (60 + 4q) Solving 78 + 6q = 60 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 78 + 6q + -4q = 60 + 4q + -4q Combine like terms: 6q + -4q = 2q 78 + 2q = 60 + 4q + -4q Combine like terms: 4q + -4q = 0 78 + 2q = 60 + 0 78 + 2q = 60 Add '-78' to each side of the equation. 78 + -78 + 2q = 60 + -78 Combine like terms: 78 + -78 = 0 0 + 2q = 60 + -78 2q = 60 + -78 Combine like terms: 60 + -78 = -18 2q = -18 Divide each side by '2'. q = -9 Simplifying q = -9
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