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Simplifying -6m + 17 + -5(m + -1) = 3m + -1(5m + -2) + -4m + 5 Reorder the terms: -6m + 17 + -5(-1 + m) = 3m + -1(5m + -2) + -4m + 5 -6m + 17 + (-1 * -5 + m * -5) = 3m + -1(5m + -2) + -4m + 5 -6m + 17 + (5 + -5m) = 3m + -1(5m + -2) + -4m + 5 Reorder the terms: 17 + 5 + -6m + -5m = 3m + -1(5m + -2) + -4m + 5 Combine like terms: 17 + 5 = 22 22 + -6m + -5m = 3m + -1(5m + -2) + -4m + 5 Combine like terms: -6m + -5m = -11m 22 + -11m = 3m + -1(5m + -2) + -4m + 5 Reorder the terms: 22 + -11m = 3m + -1(-2 + 5m) + -4m + 5 22 + -11m = 3m + (-2 * -1 + 5m * -1) + -4m + 5 22 + -11m = 3m + (2 + -5m) + -4m + 5 Reorder the terms: 22 + -11m = 2 + 5 + 3m + -5m + -4m Combine like terms: 2 + 5 = 7 22 + -11m = 7 + 3m + -5m + -4m Combine like terms: 3m + -5m = -2m 22 + -11m = 7 + -2m + -4m Combine like terms: -2m + -4m = -6m 22 + -11m = 7 + -6m Solving 22 + -11m = 7 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 22 + -11m + 6m = 7 + -6m + 6m Combine like terms: -11m + 6m = -5m 22 + -5m = 7 + -6m + 6m Combine like terms: -6m + 6m = 0 22 + -5m = 7 + 0 22 + -5m = 7 Add '-22' to each side of the equation. 22 + -22 + -5m = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -5m = 7 + -22 -5m = 7 + -22 Combine like terms: 7 + -22 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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