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Simplifying 2(a + 4) + -5 = -5(3a + -1) + 8 Reorder the terms: 2(4 + a) + -5 = -5(3a + -1) + 8 (4 * 2 + a * 2) + -5 = -5(3a + -1) + 8 (8 + 2a) + -5 = -5(3a + -1) + 8 Reorder the terms: 8 + -5 + 2a = -5(3a + -1) + 8 Combine like terms: 8 + -5 = 3 3 + 2a = -5(3a + -1) + 8 Reorder the terms: 3 + 2a = -5(-1 + 3a) + 8 3 + 2a = (-1 * -5 + 3a * -5) + 8 3 + 2a = (5 + -15a) + 8 Reorder the terms: 3 + 2a = 5 + 8 + -15a Combine like terms: 5 + 8 = 13 3 + 2a = 13 + -15a Solving 3 + 2a = 13 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 3 + 2a + 15a = 13 + -15a + 15a Combine like terms: 2a + 15a = 17a 3 + 17a = 13 + -15a + 15a Combine like terms: -15a + 15a = 0 3 + 17a = 13 + 0 3 + 17a = 13 Add '-3' to each side of the equation. 3 + -3 + 17a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 17a = 13 + -3 17a = 13 + -3 Combine like terms: 13 + -3 = 10 17a = 10 Divide each side by '17'. a = 0.5882352941 Simplifying a = 0.5882352941
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