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Simplifying -3m + 5 + -7(m + -5) = 4m + -1(6m + -3) + -2m + 1 Reorder the terms: -3m + 5 + -7(-5 + m) = 4m + -1(6m + -3) + -2m + 1 -3m + 5 + (-5 * -7 + m * -7) = 4m + -1(6m + -3) + -2m + 1 -3m + 5 + (35 + -7m) = 4m + -1(6m + -3) + -2m + 1 Reorder the terms: 5 + 35 + -3m + -7m = 4m + -1(6m + -3) + -2m + 1 Combine like terms: 5 + 35 = 40 40 + -3m + -7m = 4m + -1(6m + -3) + -2m + 1 Combine like terms: -3m + -7m = -10m 40 + -10m = 4m + -1(6m + -3) + -2m + 1 Reorder the terms: 40 + -10m = 4m + -1(-3 + 6m) + -2m + 1 40 + -10m = 4m + (-3 * -1 + 6m * -1) + -2m + 1 40 + -10m = 4m + (3 + -6m) + -2m + 1 Reorder the terms: 40 + -10m = 3 + 1 + 4m + -6m + -2m Combine like terms: 3 + 1 = 4 40 + -10m = 4 + 4m + -6m + -2m Combine like terms: 4m + -6m = -2m 40 + -10m = 4 + -2m + -2m Combine like terms: -2m + -2m = -4m 40 + -10m = 4 + -4m Solving 40 + -10m = 4 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 40 + -10m + 4m = 4 + -4m + 4m Combine like terms: -10m + 4m = -6m 40 + -6m = 4 + -4m + 4m Combine like terms: -4m + 4m = 0 40 + -6m = 4 + 0 40 + -6m = 4 Add '-40' to each side of the equation. 40 + -40 + -6m = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -6m = 4 + -40 -6m = 4 + -40 Combine like terms: 4 + -40 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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