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Simplifying 4(m + 7) + -5m = 8(m + -7) + -2m Reorder the terms: 4(7 + m) + -5m = 8(m + -7) + -2m (7 * 4 + m * 4) + -5m = 8(m + -7) + -2m (28 + 4m) + -5m = 8(m + -7) + -2m Combine like terms: 4m + -5m = -1m 28 + -1m = 8(m + -7) + -2m Reorder the terms: 28 + -1m = 8(-7 + m) + -2m 28 + -1m = (-7 * 8 + m * 8) + -2m 28 + -1m = (-56 + 8m) + -2m Combine like terms: 8m + -2m = 6m 28 + -1m = -56 + 6m Solving 28 + -1m = -56 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 28 + -1m + -6m = -56 + 6m + -6m Combine like terms: -1m + -6m = -7m 28 + -7m = -56 + 6m + -6m Combine like terms: 6m + -6m = 0 28 + -7m = -56 + 0 28 + -7m = -56 Add '-28' to each side of the equation. 28 + -28 + -7m = -56 + -28 Combine like terms: 28 + -28 = 0 0 + -7m = -56 + -28 -7m = -56 + -28 Combine like terms: -56 + -28 = -84 -7m = -84 Divide each side by '-7'. m = 12 Simplifying m = 12
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