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Simplifying -2m + -25 + -5(m + -3) = 4m + -1(8m + -2) + -6m + 3 Reorder the terms: -2m + -25 + -5(-3 + m) = 4m + -1(8m + -2) + -6m + 3 -2m + -25 + (-3 * -5 + m * -5) = 4m + -1(8m + -2) + -6m + 3 -2m + -25 + (15 + -5m) = 4m + -1(8m + -2) + -6m + 3 Reorder the terms: -25 + 15 + -2m + -5m = 4m + -1(8m + -2) + -6m + 3 Combine like terms: -25 + 15 = -10 -10 + -2m + -5m = 4m + -1(8m + -2) + -6m + 3 Combine like terms: -2m + -5m = -7m -10 + -7m = 4m + -1(8m + -2) + -6m + 3 Reorder the terms: -10 + -7m = 4m + -1(-2 + 8m) + -6m + 3 -10 + -7m = 4m + (-2 * -1 + 8m * -1) + -6m + 3 -10 + -7m = 4m + (2 + -8m) + -6m + 3 Reorder the terms: -10 + -7m = 2 + 3 + 4m + -8m + -6m Combine like terms: 2 + 3 = 5 -10 + -7m = 5 + 4m + -8m + -6m Combine like terms: 4m + -8m = -4m -10 + -7m = 5 + -4m + -6m Combine like terms: -4m + -6m = -10m -10 + -7m = 5 + -10m Solving -10 + -7m = 5 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -10 + -7m + 10m = 5 + -10m + 10m Combine like terms: -7m + 10m = 3m -10 + 3m = 5 + -10m + 10m Combine like terms: -10m + 10m = 0 -10 + 3m = 5 + 0 -10 + 3m = 5 Add '10' to each side of the equation. -10 + 10 + 3m = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3m = 5 + 10 3m = 5 + 10 Combine like terms: 5 + 10 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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