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Simplifying 4(-1a + 8) = -8 + -1(7a + 5) Reorder the terms: 4(8 + -1a) = -8 + -1(7a + 5) (8 * 4 + -1a * 4) = -8 + -1(7a + 5) (32 + -4a) = -8 + -1(7a + 5) Reorder the terms: 32 + -4a = -8 + -1(5 + 7a) 32 + -4a = -8 + (5 * -1 + 7a * -1) 32 + -4a = -8 + (-5 + -7a) Combine like terms: -8 + -5 = -13 32 + -4a = -13 + -7a Solving 32 + -4a = -13 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 32 + -4a + 7a = -13 + -7a + 7a Combine like terms: -4a + 7a = 3a 32 + 3a = -13 + -7a + 7a Combine like terms: -7a + 7a = 0 32 + 3a = -13 + 0 32 + 3a = -13 Add '-32' to each side of the equation. 32 + -32 + 3a = -13 + -32 Combine like terms: 32 + -32 = 0 0 + 3a = -13 + -32 3a = -13 + -32 Combine like terms: -13 + -32 = -45 3a = -45 Divide each side by '3'. a = -15 Simplifying a = -15
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