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Simplifying 6m + 17 = 5(2m + -3) Reorder the terms: 17 + 6m = 5(2m + -3) Reorder the terms: 17 + 6m = 5(-3 + 2m) 17 + 6m = (-3 * 5 + 2m * 5) 17 + 6m = (-15 + 10m) Solving 17 + 6m = -15 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 17 + 6m + -10m = -15 + 10m + -10m Combine like terms: 6m + -10m = -4m 17 + -4m = -15 + 10m + -10m Combine like terms: 10m + -10m = 0 17 + -4m = -15 + 0 17 + -4m = -15 Add '-17' to each side of the equation. 17 + -17 + -4m = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4m = -15 + -17 -4m = -15 + -17 Combine like terms: -15 + -17 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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