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Simplifying 3[m + 6] = 6[m + -1] Reorder the terms: 3[6 + m] = 6[m + -1] [6 * 3 + m * 3] = 6[m + -1] [18 + 3m] = 6[m + -1] Reorder the terms: 18 + 3m = 6[-1 + m] 18 + 3m = [-1 * 6 + m * 6] 18 + 3m = [-6 + 6m] Solving 18 + 3m = -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. 18 + 3m + -6m = -6 + 6m + -6m Combine like terms: 3m + -6m = -3m 18 + -3m = -6 + 6m + -6m Combine like terms: 6m + -6m = 0 18 + -3m = -6 + 0 18 + -3m = -6 Add '-18' to each side of the equation. 18 + -18 + -3m = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3m = -6 + -18 -3m = -6 + -18 Combine like terms: -6 + -18 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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