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Simplifying [8(a + 5) + -19] + [2(a + -2) + 2] = 0 Reorder the terms: [8(5 + a) + -19] + [2(a + -2) + 2] = 0 [(5 * 8 + a * 8) + -19] + [2(a + -2) + 2] = 0 [(40 + 8a) + -19] + [2(a + -2) + 2] = 0 Reorder the terms: [40 + -19 + 8a] + [2(a + -2) + 2] = 0 Combine like terms: 40 + -19 = 21 [21 + 8a] + [2(a + -2) + 2] = 0 Remove brackets around [21 + 8a] 21 + 8a + [2(a + -2) + 2] = 0 Reorder the terms: 21 + 8a + [2(-2 + a) + 2] = 0 21 + 8a + [(-2 * 2 + a * 2) + 2] = 0 21 + 8a + [(-4 + 2a) + 2] = 0 Reorder the terms: 21 + 8a + [-4 + 2 + 2a] = 0 Combine like terms: -4 + 2 = -2 21 + 8a + [-2 + 2a] = 0 Remove brackets around [-2 + 2a] 21 + 8a + -2 + 2a = 0 Reorder the terms: 21 + -2 + 8a + 2a = 0 Combine like terms: 21 + -2 = 19 19 + 8a + 2a = 0 Combine like terms: 8a + 2a = 10a 19 + 10a = 0 Solving 19 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 10a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 10a = 0 + -19 10a = 0 + -19 Combine like terms: 0 + -19 = -19 10a = -19 Divide each side by '10'. a = -1.9 Simplifying a = -1.9
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