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Simplifying 4 + -1(a + -4) = 2(4a + -5) Reorder the terms: 4 + -1(-4 + a) = 2(4a + -5) 4 + (-4 * -1 + a * -1) = 2(4a + -5) 4 + (4 + -1a) = 2(4a + -5) Combine like terms: 4 + 4 = 8 8 + -1a = 2(4a + -5) Reorder the terms: 8 + -1a = 2(-5 + 4a) 8 + -1a = (-5 * 2 + 4a * 2) 8 + -1a = (-10 + 8a) Solving 8 + -1a = -10 + 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. 8 + -1a + -8a = -10 + 8a + -8a Combine like terms: -1a + -8a = -9a 8 + -9a = -10 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -9a = -10 + 0 8 + -9a = -10 Add '-8' to each side of the equation. 8 + -8 + -9a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = -10 + -8 -9a = -10 + -8 Combine like terms: -10 + -8 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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