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Simplifying 2[2m + [2M + -1(2 + -2m)]] = 2 2[2m + [2M + (2 * -1 + -2m * -1)]] = 2 2[2m + [2M + (-2 + 2m)]] = 2 Reorder the terms: 2[2m + [-2 + 2M + 2m]] = 2 Remove brackets around [-2 + 2M + 2m] 2[2m + -2 + 2M + 2m] = 2 Reorder the terms: 2[-2 + 2M + 2m + 2m] = 2 Combine like terms: 2m + 2m = 4m 2[-2 + 2M + 4m] = 2 [-2 * 2 + 2M * 2 + 4m * 2] = 2 [-4 + 4M + 8m] = 2 Solving -4 + 4M + 8m = 2 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4M + 4 + 8m = 2 + 4 Reorder the terms: -4 + 4 + 4M + 8m = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 4M + 8m = 2 + 4 4M + 8m = 2 + 4 Combine like terms: 2 + 4 = 6 4M + 8m = 6 Add '-8m' to each side of the equation. 4M + 8m + -8m = 6 + -8m Combine like terms: 8m + -8m = 0 4M + 0 = 6 + -8m 4M = 6 + -8m Divide each side by '4'. M = 1.5 + -2m Simplifying M = 1.5 + -2m
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