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Simplifying 19 = -3(21 + -1m) + 2(m + -4) 19 = (21 * -3 + -1m * -3) + 2(m + -4) 19 = (-63 + 3m) + 2(m + -4) Reorder the terms: 19 = -63 + 3m + 2(-4 + m) 19 = -63 + 3m + (-4 * 2 + m * 2) 19 = -63 + 3m + (-8 + 2m) Reorder the terms: 19 = -63 + -8 + 3m + 2m Combine like terms: -63 + -8 = -71 19 = -71 + 3m + 2m Combine like terms: 3m + 2m = 5m 19 = -71 + 5m Solving 19 = -71 + 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. 19 + -5m = -71 + 5m + -5m Combine like terms: 5m + -5m = 0 19 + -5m = -71 + 0 19 + -5m = -71 Add '-19' to each side of the equation. 19 + -19 + -5m = -71 + -19 Combine like terms: 19 + -19 = 0 0 + -5m = -71 + -19 -5m = -71 + -19 Combine like terms: -71 + -19 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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