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Simplifying [9(m + 4) + -19] + -1[2(m + -3) + 2] = 0 Reorder the terms: [9(4 + m) + -19] + -1[2(m + -3) + 2] = 0 [(4 * 9 + m * 9) + -19] + -1[2(m + -3) + 2] = 0 [(36 + 9m) + -19] + -1[2(m + -3) + 2] = 0 Reorder the terms: [36 + -19 + 9m] + -1[2(m + -3) + 2] = 0 Combine like terms: 36 + -19 = 17 [17 + 9m] + -1[2(m + -3) + 2] = 0 Remove brackets around [17 + 9m] 17 + 9m + -1[2(m + -3) + 2] = 0 Reorder the terms: 17 + 9m + -1[2(-3 + m) + 2] = 0 17 + 9m + -1[(-3 * 2 + m * 2) + 2] = 0 17 + 9m + -1[(-6 + 2m) + 2] = 0 Reorder the terms: 17 + 9m + -1[-6 + 2 + 2m] = 0 Combine like terms: -6 + 2 = -4 17 + 9m + -1[-4 + 2m] = 0 17 + 9m + [-4 * -1 + 2m * -1] = 0 17 + 9m + [4 + -2m] = 0 Reorder the terms: 17 + 4 + 9m + -2m = 0 Combine like terms: 17 + 4 = 21 21 + 9m + -2m = 0 Combine like terms: 9m + -2m = 7m 21 + 7m = 0 Solving 21 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7m = 0 + -21 7m = 0 + -21 Combine like terms: 0 + -21 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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