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Simplifying 12 + -1[3 + 4m + -6(3m + -2)] = -7(2m + -8) + -3[(m + -2) + 3m + -5] Reorder the terms: 12 + -1[3 + 4m + -6(-2 + 3m)] = -7(2m + -8) + -3[(m + -2) + 3m + -5] 12 + -1[3 + 4m + (-2 * -6 + 3m * -6)] = -7(2m + -8) + -3[(m + -2) + 3m + -5] 12 + -1[3 + 4m + (12 + -18m)] = -7(2m + -8) + -3[(m + -2) + 3m + -5] Reorder the terms: 12 + -1[3 + 12 + 4m + -18m] = -7(2m + -8) + -3[(m + -2) + 3m + -5] Combine like terms: 3 + 12 = 15 12 + -1[15 + 4m + -18m] = -7(2m + -8) + -3[(m + -2) + 3m + -5] Combine like terms: 4m + -18m = -14m 12 + -1[15 + -14m] = -7(2m + -8) + -3[(m + -2) + 3m + -5] 12 + [15 * -1 + -14m * -1] = -7(2m + -8) + -3[(m + -2) + 3m + -5] 12 + [-15 + 14m] = -7(2m + -8) + -3[(m + -2) + 3m + -5] Combine like terms: 12 + -15 = -3 -3 + 14m = -7(2m + -8) + -3[(m + -2) + 3m + -5] Reorder the terms: -3 + 14m = -7(-8 + 2m) + -3[(m + -2) + 3m + -5] -3 + 14m = (-8 * -7 + 2m * -7) + -3[(m + -2) + 3m + -5] -3 + 14m = (56 + -14m) + -3[(m + -2) + 3m + -5] Reorder the terms: -3 + 14m = 56 + -14m + -3[(-2 + m) + 3m + -5] Remove parenthesis around (-2 + m) -3 + 14m = 56 + -14m + -3[-2 + m + 3m + -5] Reorder the terms: -3 + 14m = 56 + -14m + -3[-2 + -5 + m + 3m] Combine like terms: -2 + -5 = -7 -3 + 14m = 56 + -14m + -3[-7 + m + 3m] Combine like terms: m + 3m = 4m -3 + 14m = 56 + -14m + -3[-7 + 4m] -3 + 14m = 56 + -14m + [-7 * -3 + 4m * -3] -3 + 14m = 56 + -14m + [21 + -12m] Reorder the terms: -3 + 14m = 56 + 21 + -14m + -12m Combine like terms: 56 + 21 = 77 -3 + 14m = 77 + -14m + -12m Combine like terms: -14m + -12m = -26m -3 + 14m = 77 + -26m Solving -3 + 14m = 77 + -26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '26m' to each side of the equation. -3 + 14m + 26m = 77 + -26m + 26m Combine like terms: 14m + 26m = 40m -3 + 40m = 77 + -26m + 26m Combine like terms: -26m + 26m = 0 -3 + 40m = 77 + 0 -3 + 40m = 77 Add '3' to each side of the equation. -3 + 3 + 40m = 77 + 3 Combine like terms: -3 + 3 = 0 0 + 40m = 77 + 3 40m = 77 + 3 Combine like terms: 77 + 3 = 80 40m = 80 Divide each side by '40'. m = 2 Simplifying m = 2
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