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Simplifying 5(q + -3) = 2(4 + -1q) Reorder the terms: 5(-3 + q) = 2(4 + -1q) (-3 * 5 + q * 5) = 2(4 + -1q) (-15 + 5q) = 2(4 + -1q) -15 + 5q = (4 * 2 + -1q * 2) -15 + 5q = (8 + -2q) Solving -15 + 5q = 8 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -15 + 5q + 2q = 8 + -2q + 2q Combine like terms: 5q + 2q = 7q -15 + 7q = 8 + -2q + 2q Combine like terms: -2q + 2q = 0 -15 + 7q = 8 + 0 -15 + 7q = 8 Add '15' to each side of the equation. -15 + 15 + 7q = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 7q = 8 + 15 7q = 8 + 15 Combine like terms: 8 + 15 = 23 7q = 23 Divide each side by '7'. q = 3.285714286 Simplifying q = 3.285714286
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