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Simplifying 2(q + 14) = 7(q + -2) Reorder the terms: 2(14 + q) = 7(q + -2) (14 * 2 + q * 2) = 7(q + -2) (28 + 2q) = 7(q + -2) Reorder the terms: 28 + 2q = 7(-2 + q) 28 + 2q = (-2 * 7 + q * 7) 28 + 2q = (-14 + 7q) Solving 28 + 2q = -14 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 28 + 2q + -7q = -14 + 7q + -7q Combine like terms: 2q + -7q = -5q 28 + -5q = -14 + 7q + -7q Combine like terms: 7q + -7q = 0 28 + -5q = -14 + 0 28 + -5q = -14 Add '-28' to each side of the equation. 28 + -28 + -5q = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -5q = -14 + -28 -5q = -14 + -28 Combine like terms: -14 + -28 = -42 -5q = -42 Divide each side by '-5'. q = 8.4 Simplifying q = 8.4
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