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Simplifying 8(-1 + -1m) = 5m + -21 (-1 * 8 + -1m * 8) = 5m + -21 (-8 + -8m) = 5m + -21 Reorder the terms: -8 + -8m = -21 + 5m Solving -8 + -8m = -21 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -8 + -8m + -5m = -21 + 5m + -5m Combine like terms: -8m + -5m = -13m -8 + -13m = -21 + 5m + -5m Combine like terms: 5m + -5m = 0 -8 + -13m = -21 + 0 -8 + -13m = -21 Add '8' to each side of the equation. -8 + 8 + -13m = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -13m = -21 + 8 -13m = -21 + 8 Combine like terms: -21 + 8 = -13 -13m = -13 Divide each side by '-13'. m = 1 Simplifying m = 1
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