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Simplifying 3m + -5 = -8(6 + 5m) Reorder the terms: -5 + 3m = -8(6 + 5m) -5 + 3m = (6 * -8 + 5m * -8) -5 + 3m = (-48 + -40m) Solving -5 + 3m = -48 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. -5 + 3m + 40m = -48 + -40m + 40m Combine like terms: 3m + 40m = 43m -5 + 43m = -48 + -40m + 40m Combine like terms: -40m + 40m = 0 -5 + 43m = -48 + 0 -5 + 43m = -48 Add '5' to each side of the equation. -5 + 5 + 43m = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43m = -48 + 5 43m = -48 + 5 Combine like terms: -48 + 5 = -43 43m = -43 Divide each side by '43'. m = -1 Simplifying m = -1
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