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Simplifying -40 = 2(-7m + -5) + 5(-5m + -6) Reorder the terms: -40 = 2(-5 + -7m) + 5(-5m + -6) -40 = (-5 * 2 + -7m * 2) + 5(-5m + -6) -40 = (-10 + -14m) + 5(-5m + -6) Reorder the terms: -40 = -10 + -14m + 5(-6 + -5m) -40 = -10 + -14m + (-6 * 5 + -5m * 5) -40 = -10 + -14m + (-30 + -25m) Reorder the terms: -40 = -10 + -30 + -14m + -25m Combine like terms: -10 + -30 = -40 -40 = -40 + -14m + -25m Combine like terms: -14m + -25m = -39m -40 = -40 + -39m Add '40' to each side of the equation. -40 + 40 = -40 + 40 + -39m Combine like terms: -40 + 40 = 0 0 = -40 + 40 + -39m Combine like terms: -40 + 40 = 0 0 = 0 + -39m 0 = -39m Solving 0 = -39m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '39m' to each side of the equation. 0 + 39m = -39m + 39m Remove the zero: 39m = -39m + 39m Combine like terms: -39m + 39m = 0 39m = 0 Divide each side by '39'. m = 0 Simplifying m = 0
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