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Simplifying -5m + -2m = 8(-7m + -6) + -1(4 + 3m) Combine like terms: -5m + -2m = -7m -7m = 8(-7m + -6) + -1(4 + 3m) Reorder the terms: -7m = 8(-6 + -7m) + -1(4 + 3m) -7m = (-6 * 8 + -7m * 8) + -1(4 + 3m) -7m = (-48 + -56m) + -1(4 + 3m) -7m = -48 + -56m + (4 * -1 + 3m * -1) -7m = -48 + -56m + (-4 + -3m) Reorder the terms: -7m = -48 + -4 + -56m + -3m Combine like terms: -48 + -4 = -52 -7m = -52 + -56m + -3m Combine like terms: -56m + -3m = -59m -7m = -52 + -59m Solving -7m = -52 + -59m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '59m' to each side of the equation. -7m + 59m = -52 + -59m + 59m Combine like terms: -7m + 59m = 52m 52m = -52 + -59m + 59m Combine like terms: -59m + 59m = 0 52m = -52 + 0 52m = -52 Divide each side by '52'. m = -1 Simplifying m = -1
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