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Simplifying 5a + 1 = -4(-4 + -2a) Reorder the terms: 1 + 5a = -4(-4 + -2a) 1 + 5a = (-4 * -4 + -2a * -4) 1 + 5a = (16 + 8a) Solving 1 + 5a = 16 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 1 + 5a + -8a = 16 + 8a + -8a Combine like terms: 5a + -8a = -3a 1 + -3a = 16 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + -3a = 16 + 0 1 + -3a = 16 Add '-1' to each side of the equation. 1 + -1 + -3a = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 16 + -1 -3a = 16 + -1 Combine like terms: 16 + -1 = 15 -3a = 15 Divide each side by '-3'. a = -5 Simplifying a = -5
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