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Simplifying -1(-1 + -4a) = -3 + 5(2a + 2) (-1 * -1 + -4a * -1) = -3 + 5(2a + 2) (1 + 4a) = -3 + 5(2a + 2) Reorder the terms: 1 + 4a = -3 + 5(2 + 2a) 1 + 4a = -3 + (2 * 5 + 2a * 5) 1 + 4a = -3 + (10 + 10a) Combine like terms: -3 + 10 = 7 1 + 4a = 7 + 10a Solving 1 + 4a = 7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 1 + 4a + -10a = 7 + 10a + -10a Combine like terms: 4a + -10a = -6a 1 + -6a = 7 + 10a + -10a Combine like terms: 10a + -10a = 0 1 + -6a = 7 + 0 1 + -6a = 7 Add '-1' to each side of the equation. 1 + -1 + -6a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 7 + -1 -6a = 7 + -1 Combine like terms: 7 + -1 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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