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Simplifying [9(m + 5) + -19] + -1[2(m + -4) + 2] = 0 Reorder the terms: [9(5 + m) + -19] + -1[2(m + -4) + 2] = 0 [(5 * 9 + m * 9) + -19] + -1[2(m + -4) + 2] = 0 [(45 + 9m) + -19] + -1[2(m + -4) + 2] = 0 Reorder the terms: [45 + -19 + 9m] + -1[2(m + -4) + 2] = 0 Combine like terms: 45 + -19 = 26 [26 + 9m] + -1[2(m + -4) + 2] = 0 Remove brackets around [26 + 9m] 26 + 9m + -1[2(m + -4) + 2] = 0 Reorder the terms: 26 + 9m + -1[2(-4 + m) + 2] = 0 26 + 9m + -1[(-4 * 2 + m * 2) + 2] = 0 26 + 9m + -1[(-8 + 2m) + 2] = 0 Reorder the terms: 26 + 9m + -1[-8 + 2 + 2m] = 0 Combine like terms: -8 + 2 = -6 26 + 9m + -1[-6 + 2m] = 0 26 + 9m + [-6 * -1 + 2m * -1] = 0 26 + 9m + [6 + -2m] = 0 Reorder the terms: 26 + 6 + 9m + -2m = 0 Combine like terms: 26 + 6 = 32 32 + 9m + -2m = 0 Combine like terms: 9m + -2m = 7m 32 + 7m = 0 Solving 32 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7m = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 7m = 0 + -32 7m = 0 + -32 Combine like terms: 0 + -32 = -32 7m = -32 Divide each side by '7'. m = -4.571428571 Simplifying m = -4.571428571
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