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Simplifying 5 + 3a + -8a = -1(1 + -4a) + -8(a + -3) Combine like terms: 3a + -8a = -5a 5 + -5a = -1(1 + -4a) + -8(a + -3) 5 + -5a = (1 * -1 + -4a * -1) + -8(a + -3) 5 + -5a = (-1 + 4a) + -8(a + -3) Reorder the terms: 5 + -5a = -1 + 4a + -8(-3 + a) 5 + -5a = -1 + 4a + (-3 * -8 + a * -8) 5 + -5a = -1 + 4a + (24 + -8a) Reorder the terms: 5 + -5a = -1 + 24 + 4a + -8a Combine like terms: -1 + 24 = 23 5 + -5a = 23 + 4a + -8a Combine like terms: 4a + -8a = -4a 5 + -5a = 23 + -4a Solving 5 + -5a = 23 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 5 + -5a + 4a = 23 + -4a + 4a Combine like terms: -5a + 4a = -1a 5 + -1a = 23 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + -1a = 23 + 0 5 + -1a = 23 Add '-5' to each side of the equation. 5 + -5 + -1a = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 23 + -5 -1a = 23 + -5 Combine like terms: 23 + -5 = 18 -1a = 18 Divide each side by '-1'. a = -18 Simplifying a = -18
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