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Simplifying m + -4 + -4m = 2(-8 + 2m) + 2(-5m + -6) Reorder the terms: -4 + m + -4m = 2(-8 + 2m) + 2(-5m + -6) Combine like terms: m + -4m = -3m -4 + -3m = 2(-8 + 2m) + 2(-5m + -6) -4 + -3m = (-8 * 2 + 2m * 2) + 2(-5m + -6) -4 + -3m = (-16 + 4m) + 2(-5m + -6) Reorder the terms: -4 + -3m = -16 + 4m + 2(-6 + -5m) -4 + -3m = -16 + 4m + (-6 * 2 + -5m * 2) -4 + -3m = -16 + 4m + (-12 + -10m) Reorder the terms: -4 + -3m = -16 + -12 + 4m + -10m Combine like terms: -16 + -12 = -28 -4 + -3m = -28 + 4m + -10m Combine like terms: 4m + -10m = -6m -4 + -3m = -28 + -6m Solving -4 + -3m = -28 + -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. -4 + -3m + 6m = -28 + -6m + 6m Combine like terms: -3m + 6m = 3m -4 + 3m = -28 + -6m + 6m Combine like terms: -6m + 6m = 0 -4 + 3m = -28 + 0 -4 + 3m = -28 Add '4' to each side of the equation. -4 + 4 + 3m = -28 + 4 Combine like terms: -4 + 4 = 0 0 + 3m = -28 + 4 3m = -28 + 4 Combine like terms: -28 + 4 = -24 3m = -24 Divide each side by '3'. m = -8 Simplifying m = -8
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