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Simplifying 3 + 5m + -4 + -8m = -8(m + -3) + 2(m + -8) Reorder the terms: 3 + -4 + 5m + -8m = -8(m + -3) + 2(m + -8) Combine like terms: 3 + -4 = -1 -1 + 5m + -8m = -8(m + -3) + 2(m + -8) Combine like terms: 5m + -8m = -3m -1 + -3m = -8(m + -3) + 2(m + -8) Reorder the terms: -1 + -3m = -8(-3 + m) + 2(m + -8) -1 + -3m = (-3 * -8 + m * -8) + 2(m + -8) -1 + -3m = (24 + -8m) + 2(m + -8) Reorder the terms: -1 + -3m = 24 + -8m + 2(-8 + m) -1 + -3m = 24 + -8m + (-8 * 2 + m * 2) -1 + -3m = 24 + -8m + (-16 + 2m) Reorder the terms: -1 + -3m = 24 + -16 + -8m + 2m Combine like terms: 24 + -16 = 8 -1 + -3m = 8 + -8m + 2m Combine like terms: -8m + 2m = -6m -1 + -3m = 8 + -6m Solving -1 + -3m = 8 + -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. -1 + -3m + 6m = 8 + -6m + 6m Combine like terms: -3m + 6m = 3m -1 + 3m = 8 + -6m + 6m Combine like terms: -6m + 6m = 0 -1 + 3m = 8 + 0 -1 + 3m = 8 Add '1' to each side of the equation. -1 + 1 + 3m = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 8 + 1 3m = 8 + 1 Combine like terms: 8 + 1 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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