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Simplifying [9(a + 4) + -15] + -1[3(a + -3) + 3] = 0 Reorder the terms: [9(4 + a) + -15] + -1[3(a + -3) + 3] = 0 [(4 * 9 + a * 9) + -15] + -1[3(a + -3) + 3] = 0 [(36 + 9a) + -15] + -1[3(a + -3) + 3] = 0 Reorder the terms: [36 + -15 + 9a] + -1[3(a + -3) + 3] = 0 Combine like terms: 36 + -15 = 21 [21 + 9a] + -1[3(a + -3) + 3] = 0 Remove brackets around [21 + 9a] 21 + 9a + -1[3(a + -3) + 3] = 0 Reorder the terms: 21 + 9a + -1[3(-3 + a) + 3] = 0 21 + 9a + -1[(-3 * 3 + a * 3) + 3] = 0 21 + 9a + -1[(-9 + 3a) + 3] = 0 Reorder the terms: 21 + 9a + -1[-9 + 3 + 3a] = 0 Combine like terms: -9 + 3 = -6 21 + 9a + -1[-6 + 3a] = 0 21 + 9a + [-6 * -1 + 3a * -1] = 0 21 + 9a + [6 + -3a] = 0 Reorder the terms: 21 + 6 + 9a + -3a = 0 Combine like terms: 21 + 6 = 27 27 + 9a + -3a = 0 Combine like terms: 9a + -3a = 6a 27 + 6a = 0 Solving 27 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6a = 0 + -27 6a = 0 + -27 Combine like terms: 0 + -27 = -27 6a = -27 Divide each side by '6'. a = -4.5 Simplifying a = -4.5
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