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Simplifying 217 = -8m + -3(7m + 5) Reorder the terms: 217 = -8m + -3(5 + 7m) 217 = -8m + (5 * -3 + 7m * -3) 217 = -8m + (-15 + -21m) Reorder the terms: 217 = -15 + -8m + -21m Combine like terms: -8m + -21m = -29m 217 = -15 + -29m Solving 217 = -15 + -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. 217 + 29m = -15 + -29m + 29m Combine like terms: -29m + 29m = 0 217 + 29m = -15 + 0 217 + 29m = -15 Add '-217' to each side of the equation. 217 + -217 + 29m = -15 + -217 Combine like terms: 217 + -217 = 0 0 + 29m = -15 + -217 29m = -15 + -217 Combine like terms: -15 + -217 = -232 29m = -232 Divide each side by '29'. m = -8 Simplifying m = -8
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