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Simplifying 3 + -1(a + -5) = -3(a + 4) Reorder the terms: 3 + -1(-5 + a) = -3(a + 4) 3 + (-5 * -1 + a * -1) = -3(a + 4) 3 + (5 + -1a) = -3(a + 4) Combine like terms: 3 + 5 = 8 8 + -1a = -3(a + 4) Reorder the terms: 8 + -1a = -3(4 + a) 8 + -1a = (4 * -3 + a * -3) 8 + -1a = (-12 + -3a) Solving 8 + -1a = -12 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 8 + -1a + 3a = -12 + -3a + 3a Combine like terms: -1a + 3a = 2a 8 + 2a = -12 + -3a + 3a Combine like terms: -3a + 3a = 0 8 + 2a = -12 + 0 8 + 2a = -12 Add '-8' to each side of the equation. 8 + -8 + 2a = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -12 + -8 2a = -12 + -8 Combine like terms: -12 + -8 = -20 2a = -20 Divide each side by '2'. a = -10 Simplifying a = -10
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