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Simplifying 7(3a + 4) + -2(5a + -8) = -1a + 8(a + 8) Reorder the terms: 7(4 + 3a) + -2(5a + -8) = -1a + 8(a + 8) (4 * 7 + 3a * 7) + -2(5a + -8) = -1a + 8(a + 8) (28 + 21a) + -2(5a + -8) = -1a + 8(a + 8) Reorder the terms: 28 + 21a + -2(-8 + 5a) = -1a + 8(a + 8) 28 + 21a + (-8 * -2 + 5a * -2) = -1a + 8(a + 8) 28 + 21a + (16 + -10a) = -1a + 8(a + 8) Reorder the terms: 28 + 16 + 21a + -10a = -1a + 8(a + 8) Combine like terms: 28 + 16 = 44 44 + 21a + -10a = -1a + 8(a + 8) Combine like terms: 21a + -10a = 11a 44 + 11a = -1a + 8(a + 8) Reorder the terms: 44 + 11a = -1a + 8(8 + a) 44 + 11a = -1a + (8 * 8 + a * 8) 44 + 11a = -1a + (64 + 8a) Reorder the terms: 44 + 11a = 64 + -1a + 8a Combine like terms: -1a + 8a = 7a 44 + 11a = 64 + 7a Solving 44 + 11a = 64 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 44 + 11a + -7a = 64 + 7a + -7a Combine like terms: 11a + -7a = 4a 44 + 4a = 64 + 7a + -7a Combine like terms: 7a + -7a = 0 44 + 4a = 64 + 0 44 + 4a = 64 Add '-44' to each side of the equation. 44 + -44 + 4a = 64 + -44 Combine like terms: 44 + -44 = 0 0 + 4a = 64 + -44 4a = 64 + -44 Combine like terms: 64 + -44 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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