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Simplifying [3(m + -5) + 16] + -1[2(3m + -3) + 5] = 0 Reorder the terms: [3(-5 + m) + 16] + -1[2(3m + -3) + 5] = 0 [(-5 * 3 + m * 3) + 16] + -1[2(3m + -3) + 5] = 0 [(-15 + 3m) + 16] + -1[2(3m + -3) + 5] = 0 Reorder the terms: [-15 + 16 + 3m] + -1[2(3m + -3) + 5] = 0 Combine like terms: -15 + 16 = 1 [1 + 3m] + -1[2(3m + -3) + 5] = 0 Remove brackets around [1 + 3m] 1 + 3m + -1[2(3m + -3) + 5] = 0 Reorder the terms: 1 + 3m + -1[2(-3 + 3m) + 5] = 0 1 + 3m + -1[(-3 * 2 + 3m * 2) + 5] = 0 1 + 3m + -1[(-6 + 6m) + 5] = 0 Reorder the terms: 1 + 3m + -1[-6 + 5 + 6m] = 0 Combine like terms: -6 + 5 = -1 1 + 3m + -1[-1 + 6m] = 0 1 + 3m + [-1 * -1 + 6m * -1] = 0 1 + 3m + [1 + -6m] = 0 Reorder the terms: 1 + 1 + 3m + -6m = 0 Combine like terms: 1 + 1 = 2 2 + 3m + -6m = 0 Combine like terms: 3m + -6m = -3m 2 + -3m = 0 Solving 2 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667
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