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Simplifying 5(a + 3) + 4a + -5 = -1(2a + -4) Reorder the terms: 5(3 + a) + 4a + -5 = -1(2a + -4) (3 * 5 + a * 5) + 4a + -5 = -1(2a + -4) (15 + 5a) + 4a + -5 = -1(2a + -4) Reorder the terms: 15 + -5 + 5a + 4a = -1(2a + -4) Combine like terms: 15 + -5 = 10 10 + 5a + 4a = -1(2a + -4) Combine like terms: 5a + 4a = 9a 10 + 9a = -1(2a + -4) Reorder the terms: 10 + 9a = -1(-4 + 2a) 10 + 9a = (-4 * -1 + 2a * -1) 10 + 9a = (4 + -2a) Solving 10 + 9a = 4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 10 + 9a + 2a = 4 + -2a + 2a Combine like terms: 9a + 2a = 11a 10 + 11a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 10 + 11a = 4 + 0 10 + 11a = 4 Add '-10' to each side of the equation. 10 + -10 + 11a = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = 4 + -10 11a = 4 + -10 Combine like terms: 4 + -10 = -6 11a = -6 Divide each side by '11'. a = -0.5454545455 Simplifying a = -0.5454545455
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