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Simplifying 6(-5m + 8) + -1m = -5(7m + -5) + 7 Reorder the terms: 6(8 + -5m) + -1m = -5(7m + -5) + 7 (8 * 6 + -5m * 6) + -1m = -5(7m + -5) + 7 (48 + -30m) + -1m = -5(7m + -5) + 7 Combine like terms: -30m + -1m = -31m 48 + -31m = -5(7m + -5) + 7 Reorder the terms: 48 + -31m = -5(-5 + 7m) + 7 48 + -31m = (-5 * -5 + 7m * -5) + 7 48 + -31m = (25 + -35m) + 7 Reorder the terms: 48 + -31m = 25 + 7 + -35m Combine like terms: 25 + 7 = 32 48 + -31m = 32 + -35m Solving 48 + -31m = 32 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. 48 + -31m + 35m = 32 + -35m + 35m Combine like terms: -31m + 35m = 4m 48 + 4m = 32 + -35m + 35m Combine like terms: -35m + 35m = 0 48 + 4m = 32 + 0 48 + 4m = 32 Add '-48' to each side of the equation. 48 + -48 + 4m = 32 + -48 Combine like terms: 48 + -48 = 0 0 + 4m = 32 + -48 4m = 32 + -48 Combine like terms: 32 + -48 = -16 4m = -16 Divide each side by '4'. m = -4 Simplifying m = -4
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