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Simplifying 5 + -5(2m + 1) = 8 + 4(3m + 2 + m) Reorder the terms: 5 + -5(1 + 2m) = 8 + 4(3m + 2 + m) 5 + (1 * -5 + 2m * -5) = 8 + 4(3m + 2 + m) 5 + (-5 + -10m) = 8 + 4(3m + 2 + m) Combine like terms: 5 + -5 = 0 0 + -10m = 8 + 4(3m + 2 + m) -10m = 8 + 4(3m + 2 + m) Reorder the terms: -10m = 8 + 4(2 + 3m + m) Combine like terms: 3m + m = 4m -10m = 8 + 4(2 + 4m) -10m = 8 + (2 * 4 + 4m * 4) -10m = 8 + (8 + 16m) Combine like terms: 8 + 8 = 16 -10m = 16 + 16m Solving -10m = 16 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -10m + -16m = 16 + 16m + -16m Combine like terms: -10m + -16m = -26m -26m = 16 + 16m + -16m Combine like terms: 16m + -16m = 0 -26m = 16 + 0 -26m = 16 Divide each side by '-26'. m = -0.6153846154 Simplifying m = -0.6153846154
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