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Simplifying 49 = -1(a + -4) + -8(-4a + 6) Reorder the terms: 49 = -1(-4 + a) + -8(-4a + 6) 49 = (-4 * -1 + a * -1) + -8(-4a + 6) 49 = (4 + -1a) + -8(-4a + 6) Reorder the terms: 49 = 4 + -1a + -8(6 + -4a) 49 = 4 + -1a + (6 * -8 + -4a * -8) 49 = 4 + -1a + (-48 + 32a) Reorder the terms: 49 = 4 + -48 + -1a + 32a Combine like terms: 4 + -48 = -44 49 = -44 + -1a + 32a Combine like terms: -1a + 32a = 31a 49 = -44 + 31a Solving 49 = -44 + 31a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31a' to each side of the equation. 49 + -31a = -44 + 31a + -31a Combine like terms: 31a + -31a = 0 49 + -31a = -44 + 0 49 + -31a = -44 Add '-49' to each side of the equation. 49 + -49 + -31a = -44 + -49 Combine like terms: 49 + -49 = 0 0 + -31a = -44 + -49 -31a = -44 + -49 Combine like terms: -44 + -49 = -93 -31a = -93 Divide each side by '-31'. a = 3 Simplifying a = 3
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