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Simplifying 2[m + -1(4 + 2m) + 3] = 2m + 2 2[m + (4 * -1 + 2m * -1) + 3] = 2m + 2 2[m + (-4 + -2m) + 3] = 2m + 2 Reorder the terms: 2[-4 + 3 + m + -2m] = 2m + 2 Combine like terms: -4 + 3 = -1 2[-1 + m + -2m] = 2m + 2 Combine like terms: m + -2m = -1m 2[-1 + -1m] = 2m + 2 [-1 * 2 + -1m * 2] = 2m + 2 [-2 + -2m] = 2m + 2 Reorder the terms: -2 + -2m = 2 + 2m Solving -2 + -2m = 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. -2 + -2m + -2m = 2 + 2m + -2m Combine like terms: -2m + -2m = -4m -2 + -4m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 -2 + -4m = 2 + 0 -2 + -4m = 2 Add '2' to each side of the equation. -2 + 2 + -4m = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -4m = 2 + 2 -4m = 2 + 2 Combine like terms: 2 + 2 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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