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Simplifying 3m + -1(5 + -1m) = 6m + 2(m + -4) + -1 3m + (5 * -1 + -1m * -1) = 6m + 2(m + -4) + -1 3m + (-5 + 1m) = 6m + 2(m + -4) + -1 Reorder the terms: -5 + 3m + 1m = 6m + 2(m + -4) + -1 Combine like terms: 3m + 1m = 4m -5 + 4m = 6m + 2(m + -4) + -1 Reorder the terms: -5 + 4m = 6m + 2(-4 + m) + -1 -5 + 4m = 6m + (-4 * 2 + m * 2) + -1 -5 + 4m = 6m + (-8 + 2m) + -1 Reorder the terms: -5 + 4m = -8 + -1 + 6m + 2m Combine like terms: -8 + -1 = -9 -5 + 4m = -9 + 6m + 2m Combine like terms: 6m + 2m = 8m -5 + 4m = -9 + 8m Solving -5 + 4m = -9 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -5 + 4m + -8m = -9 + 8m + -8m Combine like terms: 4m + -8m = -4m -5 + -4m = -9 + 8m + -8m Combine like terms: 8m + -8m = 0 -5 + -4m = -9 + 0 -5 + -4m = -9 Add '5' to each side of the equation. -5 + 5 + -4m = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = -9 + 5 -4m = -9 + 5 Combine like terms: -9 + 5 = -4 -4m = -4 Divide each side by '-4'. m = 1 Simplifying m = 1
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