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Simplifying 8(m + 2) + -3(m + -4) = 6(m + -7) + 8 Reorder the terms: 8(2 + m) + -3(m + -4) = 6(m + -7) + 8 (2 * 8 + m * 8) + -3(m + -4) = 6(m + -7) + 8 (16 + 8m) + -3(m + -4) = 6(m + -7) + 8 Reorder the terms: 16 + 8m + -3(-4 + m) = 6(m + -7) + 8 16 + 8m + (-4 * -3 + m * -3) = 6(m + -7) + 8 16 + 8m + (12 + -3m) = 6(m + -7) + 8 Reorder the terms: 16 + 12 + 8m + -3m = 6(m + -7) + 8 Combine like terms: 16 + 12 = 28 28 + 8m + -3m = 6(m + -7) + 8 Combine like terms: 8m + -3m = 5m 28 + 5m = 6(m + -7) + 8 Reorder the terms: 28 + 5m = 6(-7 + m) + 8 28 + 5m = (-7 * 6 + m * 6) + 8 28 + 5m = (-42 + 6m) + 8 Reorder the terms: 28 + 5m = -42 + 8 + 6m Combine like terms: -42 + 8 = -34 28 + 5m = -34 + 6m Solving 28 + 5m = -34 + 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 + 5m + -6m = -34 + 6m + -6m Combine like terms: 5m + -6m = -1m 28 + -1m = -34 + 6m + -6m Combine like terms: 6m + -6m = 0 28 + -1m = -34 + 0 28 + -1m = -34 Add '-28' to each side of the equation. 28 + -28 + -1m = -34 + -28 Combine like terms: 28 + -28 = 0 0 + -1m = -34 + -28 -1m = -34 + -28 Combine like terms: -34 + -28 = -62 -1m = -62 Divide each side by '-1'. m = 62 Simplifying m = 62
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