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Simplifying [9(M + 4) + -17] + -1[3(M + -3) + 1] = 0 Reorder the terms: [9(4 + M) + -17] + -1[3(M + -3) + 1] = 0 [(4 * 9 + M * 9) + -17] + -1[3(M + -3) + 1] = 0 [(36 + 9M) + -17] + -1[3(M + -3) + 1] = 0 Reorder the terms: [36 + -17 + 9M] + -1[3(M + -3) + 1] = 0 Combine like terms: 36 + -17 = 19 [19 + 9M] + -1[3(M + -3) + 1] = 0 Remove brackets around [19 + 9M] 19 + 9M + -1[3(M + -3) + 1] = 0 Reorder the terms: 19 + 9M + -1[3(-3 + M) + 1] = 0 19 + 9M + -1[(-3 * 3 + M * 3) + 1] = 0 19 + 9M + -1[(-9 + 3M) + 1] = 0 Reorder the terms: 19 + 9M + -1[-9 + 1 + 3M] = 0 Combine like terms: -9 + 1 = -8 19 + 9M + -1[-8 + 3M] = 0 19 + 9M + [-8 * -1 + 3M * -1] = 0 19 + 9M + [8 + -3M] = 0 Reorder the terms: 19 + 8 + 9M + -3M = 0 Combine like terms: 19 + 8 = 27 27 + 9M + -3M = 0 Combine like terms: 9M + -3M = 6M 27 + 6M = 0 Solving 27 + 6M = 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 + 6M = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6M = 0 + -27 6M = 0 + -27 Combine like terms: 0 + -27 = -27 6M = -27 Divide each side by '6'. M = -4.5 Simplifying M = -4.5
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