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Simplifying [9(M + 4) + -19] + -1[2(M + -4) + 3] = 0 Reorder the terms: [9(4 + M) + -19] + -1[2(M + -4) + 3] = 0 [(4 * 9 + M * 9) + -19] + -1[2(M + -4) + 3] = 0 [(36 + 9M) + -19] + -1[2(M + -4) + 3] = 0 Reorder the terms: [36 + -19 + 9M] + -1[2(M + -4) + 3] = 0 Combine like terms: 36 + -19 = 17 [17 + 9M] + -1[2(M + -4) + 3] = 0 Remove brackets around [17 + 9M] 17 + 9M + -1[2(M + -4) + 3] = 0 Reorder the terms: 17 + 9M + -1[2(-4 + M) + 3] = 0 17 + 9M + -1[(-4 * 2 + M * 2) + 3] = 0 17 + 9M + -1[(-8 + 2M) + 3] = 0 Reorder the terms: 17 + 9M + -1[-8 + 3 + 2M] = 0 Combine like terms: -8 + 3 = -5 17 + 9M + -1[-5 + 2M] = 0 17 + 9M + [-5 * -1 + 2M * -1] = 0 17 + 9M + [5 + -2M] = 0 Reorder the terms: 17 + 5 + 9M + -2M = 0 Combine like terms: 17 + 5 = 22 22 + 9M + -2M = 0 Combine like terms: 9M + -2M = 7M 22 + 7M = 0 Solving 22 + 7M = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7M = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 7M = 0 + -22 7M = 0 + -22 Combine like terms: 0 + -22 = -22 7M = -22 Divide each side by '7'. M = -3.142857143 Simplifying M = -3.142857143
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