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Simplifying 2[4m + -6] + -5[2m + 3[m + 1]] = 0 Reorder the terms: 2[-6 + 4m] + -5[2m + 3[m + 1]] = 0 [-6 * 2 + 4m * 2] + -5[2m + 3[m + 1]] = 0 [-12 + 8m] + -5[2m + 3[m + 1]] = 0 Reorder the terms: -12 + 8m + -5[2m + 3[1 + m]] = 0 -12 + 8m + -5[2m + [1 * 3 + m * 3]] = 0 -12 + 8m + -5[2m + [3 + 3m]] = 0 Reorder the terms: -12 + 8m + -5[3 + 2m + 3m] = 0 Combine like terms: 2m + 3m = 5m -12 + 8m + -5[3 + 5m] = 0 -12 + 8m + [3 * -5 + 5m * -5] = 0 -12 + 8m + [-15 + -25m] = 0 Reorder the terms: -12 + -15 + 8m + -25m = 0 Combine like terms: -12 + -15 = -27 -27 + 8m + -25m = 0 Combine like terms: 8m + -25m = -17m -27 + -17m = 0 Solving -27 + -17m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -17m = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -17m = 0 + 27 -17m = 0 + 27 Combine like terms: 0 + 27 = 27 -17m = 27 Divide each side by '-17'. m = -1.588235294 Simplifying m = -1.588235294
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