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