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Simplifying 5(a + 5) + -9 = 3(a + -1) + -1(a + -4) Reorder the terms: 5(5 + a) + -9 = 3(a + -1) + -1(a + -4) (5 * 5 + a * 5) + -9 = 3(a + -1) + -1(a + -4) (25 + 5a) + -9 = 3(a + -1) + -1(a + -4) Reorder the terms: 25 + -9 + 5a = 3(a + -1) + -1(a + -4) Combine like terms: 25 + -9 = 16 16 + 5a = 3(a + -1) + -1(a + -4) Reorder the terms: 16 + 5a = 3(-1 + a) + -1(a + -4) 16 + 5a = (-1 * 3 + a * 3) + -1(a + -4) 16 + 5a = (-3 + 3a) + -1(a + -4) Reorder the terms: 16 + 5a = -3 + 3a + -1(-4 + a) 16 + 5a = -3 + 3a + (-4 * -1 + a * -1) 16 + 5a = -3 + 3a + (4 + -1a) Reorder the terms: 16 + 5a = -3 + 4 + 3a + -1a Combine like terms: -3 + 4 = 1 16 + 5a = 1 + 3a + -1a Combine like terms: 3a + -1a = 2a 16 + 5a = 1 + 2a Solving 16 + 5a = 1 + 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. 16 + 5a + -2a = 1 + 2a + -2a Combine like terms: 5a + -2a = 3a 16 + 3a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + 3a = 1 + 0 16 + 3a = 1 Add '-16' to each side of the equation. 16 + -16 + 3a = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 3a = 1 + -16 3a = 1 + -16 Combine like terms: 1 + -16 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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