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Simplifying [7(a + 5) + -18] + [3(a + -3) + 3] = 0 Reorder the terms: [7(5 + a) + -18] + [3(a + -3) + 3] = 0 [(5 * 7 + a * 7) + -18] + [3(a + -3) + 3] = 0 [(35 + 7a) + -18] + [3(a + -3) + 3] = 0 Reorder the terms: [35 + -18 + 7a] + [3(a + -3) + 3] = 0 Combine like terms: 35 + -18 = 17 [17 + 7a] + [3(a + -3) + 3] = 0 Remove brackets around [17 + 7a] 17 + 7a + [3(a + -3) + 3] = 0 Reorder the terms: 17 + 7a + [3(-3 + a) + 3] = 0 17 + 7a + [(-3 * 3 + a * 3) + 3] = 0 17 + 7a + [(-9 + 3a) + 3] = 0 Reorder the terms: 17 + 7a + [-9 + 3 + 3a] = 0 Combine like terms: -9 + 3 = -6 17 + 7a + [-6 + 3a] = 0 Remove brackets around [-6 + 3a] 17 + 7a + -6 + 3a = 0 Reorder the terms: 17 + -6 + 7a + 3a = 0 Combine like terms: 17 + -6 = 11 11 + 7a + 3a = 0 Combine like terms: 7a + 3a = 10a 11 + 10a = 0 Solving 11 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10a = 0 + -11 10a = 0 + -11 Combine like terms: 0 + -11 = -11 10a = -11 Divide each side by '10'. a = -1.1 Simplifying a = -1.1
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