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Simplifying -6(5 + -2m) + -5m = 7m + 6(2m + -5) (5 * -6 + -2m * -6) + -5m = 7m + 6(2m + -5) (-30 + 12m) + -5m = 7m + 6(2m + -5) Combine like terms: 12m + -5m = 7m -30 + 7m = 7m + 6(2m + -5) Reorder the terms: -30 + 7m = 7m + 6(-5 + 2m) -30 + 7m = 7m + (-5 * 6 + 2m * 6) -30 + 7m = 7m + (-30 + 12m) Reorder the terms: -30 + 7m = -30 + 7m + 12m Combine like terms: 7m + 12m = 19m -30 + 7m = -30 + 19m Add '30' to each side of the equation. -30 + 30 + 7m = -30 + 30 + 19m Combine like terms: -30 + 30 = 0 0 + 7m = -30 + 30 + 19m 7m = -30 + 30 + 19m Combine like terms: -30 + 30 = 0 7m = 0 + 19m 7m = 19m Solving 7m = 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 7m + -19m = 19m + -19m Combine like terms: 7m + -19m = -12m -12m = 19m + -19m Combine like terms: 19m + -19m = 0 -12m = 0 Divide each side by '-12'. m = 0 Simplifying m = 0
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