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Simplifying 8 + -1(7m + -4) + -36 = -5m + -1[4m + -1(8 + -2m)] Reorder the terms: 8 + -1(-4 + 7m) + -36 = -5m + -1[4m + -1(8 + -2m)] 8 + (-4 * -1 + 7m * -1) + -36 = -5m + -1[4m + -1(8 + -2m)] 8 + (4 + -7m) + -36 = -5m + -1[4m + -1(8 + -2m)] Reorder the terms: 8 + 4 + -36 + -7m = -5m + -1[4m + -1(8 + -2m)] Combine like terms: 8 + 4 = 12 12 + -36 + -7m = -5m + -1[4m + -1(8 + -2m)] Combine like terms: 12 + -36 = -24 -24 + -7m = -5m + -1[4m + -1(8 + -2m)] -24 + -7m = -5m + -1[4m + (8 * -1 + -2m * -1)] -24 + -7m = -5m + -1[4m + (-8 + 2m)] Reorder the terms: -24 + -7m = -5m + -1[-8 + 4m + 2m] Combine like terms: 4m + 2m = 6m -24 + -7m = -5m + -1[-8 + 6m] -24 + -7m = -5m + [-8 * -1 + 6m * -1] -24 + -7m = -5m + [8 + -6m] Reorder the terms: -24 + -7m = 8 + -5m + -6m Combine like terms: -5m + -6m = -11m -24 + -7m = 8 + -11m Solving -24 + -7m = 8 + -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. -24 + -7m + 11m = 8 + -11m + 11m Combine like terms: -7m + 11m = 4m -24 + 4m = 8 + -11m + 11m Combine like terms: -11m + 11m = 0 -24 + 4m = 8 + 0 -24 + 4m = 8 Add '24' to each side of the equation. -24 + 24 + 4m = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 4m = 8 + 24 4m = 8 + 24 Combine like terms: 8 + 24 = 32 4m = 32 Divide each side by '4'. m = 8 Simplifying m = 8
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