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Simplifying 3m + -1(m + 1) = 6m + 1 Reorder the terms: 3m + -1(1 + m) = 6m + 1 3m + (1 * -1 + m * -1) = 6m + 1 3m + (-1 + -1m) = 6m + 1 Reorder the terms: -1 + 3m + -1m = 6m + 1 Combine like terms: 3m + -1m = 2m -1 + 2m = 6m + 1 Reorder the terms: -1 + 2m = 1 + 6m Solving -1 + 2m = 1 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -1 + 2m + -6m = 1 + 6m + -6m Combine like terms: 2m + -6m = -4m -1 + -4m = 1 + 6m + -6m Combine like terms: 6m + -6m = 0 -1 + -4m = 1 + 0 -1 + -4m = 1 Add '1' to each side of the equation. -1 + 1 + -4m = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -4m = 1 + 1 -4m = 1 + 1 Combine like terms: 1 + 1 = 2 -4m = 2 Divide each side by '-4'. m = -0.5 Simplifying m = -0.5
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