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Simplifying 7q + m + -5 = 3(4 + -1m) + 5q Reorder the terms: -5 + m + 7q = 3(4 + -1m) + 5q -5 + m + 7q = (4 * 3 + -1m * 3) + 5q -5 + m + 7q = (12 + -3m) + 5q Solving -5 + m + 7q = 12 + -3m + 5q Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -5 + m + 3m + 7q = 12 + -3m + 3m + 5q Combine like terms: m + 3m = 4m -5 + 4m + 7q = 12 + -3m + 3m + 5q Combine like terms: -3m + 3m = 0 -5 + 4m + 7q = 12 + 0 + 5q -5 + 4m + 7q = 12 + 5q Add '5' to each side of the equation. -5 + 4m + 5 + 7q = 12 + 5 + 5q Reorder the terms: -5 + 5 + 4m + 7q = 12 + 5 + 5q Combine like terms: -5 + 5 = 0 0 + 4m + 7q = 12 + 5 + 5q 4m + 7q = 12 + 5 + 5q Combine like terms: 12 + 5 = 17 4m + 7q = 17 + 5q Add '-7q' to each side of the equation. 4m + 7q + -7q = 17 + 5q + -7q Combine like terms: 7q + -7q = 0 4m + 0 = 17 + 5q + -7q 4m = 17 + 5q + -7q Combine like terms: 5q + -7q = -2q 4m = 17 + -2q Divide each side by '4'. m = 4.25 + -0.5q Simplifying m = 4.25 + -0.5q
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