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Simplifying -8m + -31 = 6(1 + -8m) + 3m Reorder the terms: -31 + -8m = 6(1 + -8m) + 3m -31 + -8m = (1 * 6 + -8m * 6) + 3m -31 + -8m = (6 + -48m) + 3m Combine like terms: -48m + 3m = -45m -31 + -8m = 6 + -45m Solving -31 + -8m = 6 + -45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45m' to each side of the equation. -31 + -8m + 45m = 6 + -45m + 45m Combine like terms: -8m + 45m = 37m -31 + 37m = 6 + -45m + 45m Combine like terms: -45m + 45m = 0 -31 + 37m = 6 + 0 -31 + 37m = 6 Add '31' to each side of the equation. -31 + 31 + 37m = 6 + 31 Combine like terms: -31 + 31 = 0 0 + 37m = 6 + 31 37m = 6 + 31 Combine like terms: 6 + 31 = 37 37m = 37 Divide each side by '37'. m = 1 Simplifying m = 1
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