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Simplifying -4m + -25 + -2(m + -3) = 2m + -1(6m + -2) + -7m + 4 Reorder the terms: -4m + -25 + -2(-3 + m) = 2m + -1(6m + -2) + -7m + 4 -4m + -25 + (-3 * -2 + m * -2) = 2m + -1(6m + -2) + -7m + 4 -4m + -25 + (6 + -2m) = 2m + -1(6m + -2) + -7m + 4 Reorder the terms: -25 + 6 + -4m + -2m = 2m + -1(6m + -2) + -7m + 4 Combine like terms: -25 + 6 = -19 -19 + -4m + -2m = 2m + -1(6m + -2) + -7m + 4 Combine like terms: -4m + -2m = -6m -19 + -6m = 2m + -1(6m + -2) + -7m + 4 Reorder the terms: -19 + -6m = 2m + -1(-2 + 6m) + -7m + 4 -19 + -6m = 2m + (-2 * -1 + 6m * -1) + -7m + 4 -19 + -6m = 2m + (2 + -6m) + -7m + 4 Reorder the terms: -19 + -6m = 2 + 4 + 2m + -6m + -7m Combine like terms: 2 + 4 = 6 -19 + -6m = 6 + 2m + -6m + -7m Combine like terms: 2m + -6m = -4m -19 + -6m = 6 + -4m + -7m Combine like terms: -4m + -7m = -11m -19 + -6m = 6 + -11m Solving -19 + -6m = 6 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -19 + -6m + 11m = 6 + -11m + 11m Combine like terms: -6m + 11m = 5m -19 + 5m = 6 + -11m + 11m Combine like terms: -11m + 11m = 0 -19 + 5m = 6 + 0 -19 + 5m = 6 Add '19' to each side of the equation. -19 + 19 + 5m = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 5m = 6 + 19 5m = 6 + 19 Combine like terms: 6 + 19 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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