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Simplifying 4(m + 7) = -1(-7m + -4) + -5m Reorder the terms: 4(7 + m) = -1(-7m + -4) + -5m (7 * 4 + m * 4) = -1(-7m + -4) + -5m (28 + 4m) = -1(-7m + -4) + -5m Reorder the terms: 28 + 4m = -1(-4 + -7m) + -5m 28 + 4m = (-4 * -1 + -7m * -1) + -5m 28 + 4m = (4 + 7m) + -5m Combine like terms: 7m + -5m = 2m 28 + 4m = 4 + 2m Solving 28 + 4m = 4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 28 + 4m + -2m = 4 + 2m + -2m Combine like terms: 4m + -2m = 2m 28 + 2m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 28 + 2m = 4 + 0 28 + 2m = 4 Add '-28' to each side of the equation. 28 + -28 + 2m = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 2m = 4 + -28 2m = 4 + -28 Combine like terms: 4 + -28 = -24 2m = -24 Divide each side by '2'. m = -12 Simplifying m = -12
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