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Simplifying 13 = -3(21 + -1m) + 2(m + -2) 13 = (21 * -3 + -1m * -3) + 2(m + -2) 13 = (-63 + 3m) + 2(m + -2) Reorder the terms: 13 = -63 + 3m + 2(-2 + m) 13 = -63 + 3m + (-2 * 2 + m * 2) 13 = -63 + 3m + (-4 + 2m) Reorder the terms: 13 = -63 + -4 + 3m + 2m Combine like terms: -63 + -4 = -67 13 = -67 + 3m + 2m Combine like terms: 3m + 2m = 5m 13 = -67 + 5m Solving 13 = -67 + 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. 13 + -5m = -67 + 5m + -5m Combine like terms: 5m + -5m = 0 13 + -5m = -67 + 0 13 + -5m = -67 Add '-13' to each side of the equation. 13 + -13 + -5m = -67 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = -67 + -13 -5m = -67 + -13 Combine like terms: -67 + -13 = -80 -5m = -80 Divide each side by '-5'. m = 16 Simplifying m = 16
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