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