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Simplifying 13 + -3m = -5(2m + 3) Reorder the terms: 13 + -3m = -5(3 + 2m) 13 + -3m = (3 * -5 + 2m * -5) 13 + -3m = (-15 + -10m) Solving 13 + -3m = -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. 13 + -3m + 10m = -15 + -10m + 10m Combine like terms: -3m + 10m = 7m 13 + 7m = -15 + -10m + 10m Combine like terms: -10m + 10m = 0 13 + 7m = -15 + 0 13 + 7m = -15 Add '-13' to each side of the equation. 13 + -13 + 7m = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 7m = -15 + -13 7m = -15 + -13 Combine like terms: -15 + -13 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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