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Simplifying [5(a + -1) + -3] + -1[5(3 + -1a) + 5] = 0 Reorder the terms: [5(-1 + a) + -3] + -1[5(3 + -1a) + 5] = 0 [(-1 * 5 + a * 5) + -3] + -1[5(3 + -1a) + 5] = 0 [(-5 + 5a) + -3] + -1[5(3 + -1a) + 5] = 0 Reorder the terms: [-5 + -3 + 5a] + -1[5(3 + -1a) + 5] = 0 Combine like terms: -5 + -3 = -8 [-8 + 5a] + -1[5(3 + -1a) + 5] = 0 Remove brackets around [-8 + 5a] -8 + 5a + -1[5(3 + -1a) + 5] = 0 -8 + 5a + -1[(3 * 5 + -1a * 5) + 5] = 0 -8 + 5a + -1[(15 + -5a) + 5] = 0 Reorder the terms: -8 + 5a + -1[15 + 5 + -5a] = 0 Combine like terms: 15 + 5 = 20 -8 + 5a + -1[20 + -5a] = 0 -8 + 5a + [20 * -1 + -5a * -1] = 0 -8 + 5a + [-20 + 5a] = 0 Reorder the terms: -8 + -20 + 5a + 5a = 0 Combine like terms: -8 + -20 = -28 -28 + 5a + 5a = 0 Combine like terms: 5a + 5a = 10a -28 + 10a = 0 Solving -28 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10a = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 10a = 0 + 28 10a = 0 + 28 Combine like terms: 0 + 28 = 28 10a = 28 Divide each side by '10'. a = 2.8 Simplifying a = 2.8
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