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Simplifying -8 + 3m + 5 = -5m + -43 + -2m Reorder the terms: -8 + 5 + 3m = -5m + -43 + -2m Combine like terms: -8 + 5 = -3 -3 + 3m = -5m + -43 + -2m Reorder the terms: -3 + 3m = -43 + -5m + -2m Combine like terms: -5m + -2m = -7m -3 + 3m = -43 + -7m Solving -3 + 3m = -43 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -3 + 3m + 7m = -43 + -7m + 7m Combine like terms: 3m + 7m = 10m -3 + 10m = -43 + -7m + 7m Combine like terms: -7m + 7m = 0 -3 + 10m = -43 + 0 -3 + 10m = -43 Add '3' to each side of the equation. -3 + 3 + 10m = -43 + 3 Combine like terms: -3 + 3 = 0 0 + 10m = -43 + 3 10m = -43 + 3 Combine like terms: -43 + 3 = -40 10m = -40 Divide each side by '10'. m = -4 Simplifying m = -4
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