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Simplifying 5(8 + 7m) + 8(-7m + -6) = -50 (8 * 5 + 7m * 5) + 8(-7m + -6) = -50 (40 + 35m) + 8(-7m + -6) = -50 Reorder the terms: 40 + 35m + 8(-6 + -7m) = -50 40 + 35m + (-6 * 8 + -7m * 8) = -50 40 + 35m + (-48 + -56m) = -50 Reorder the terms: 40 + -48 + 35m + -56m = -50 Combine like terms: 40 + -48 = -8 -8 + 35m + -56m = -50 Combine like terms: 35m + -56m = -21m -8 + -21m = -50 Solving -8 + -21m = -50 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -21m = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -21m = -50 + 8 -21m = -50 + 8 Combine like terms: -50 + 8 = -42 -21m = -42 Divide each side by '-21'. m = 2 Simplifying m = 2
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