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Simplifying 2m + -1[2 + 3(m + 2)] = 6(m + 1) Reorder the terms: 2m + -1[2 + 3(2 + m)] = 6(m + 1) 2m + -1[2 + (2 * 3 + m * 3)] = 6(m + 1) 2m + -1[2 + (6 + 3m)] = 6(m + 1) Combine like terms: 2 + 6 = 8 2m + -1[8 + 3m] = 6(m + 1) 2m + [8 * -1 + 3m * -1] = 6(m + 1) 2m + [-8 + -3m] = 6(m + 1) Reorder the terms: -8 + 2m + -3m = 6(m + 1) Combine like terms: 2m + -3m = -1m -8 + -1m = 6(m + 1) Reorder the terms: -8 + -1m = 6(1 + m) -8 + -1m = (1 * 6 + m * 6) -8 + -1m = (6 + 6m) Solving -8 + -1m = 6 + 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. -8 + -1m + -6m = 6 + 6m + -6m Combine like terms: -1m + -6m = -7m -8 + -7m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -8 + -7m = 6 + 0 -8 + -7m = 6 Add '8' to each side of the equation. -8 + 8 + -7m = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7m = 6 + 8 -7m = 6 + 8 Combine like terms: 6 + 8 = 14 -7m = 14 Divide each side by '-7'. m = -2 Simplifying m = -2
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