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Simplifying 4(8 + -1a) = 7(a + 8) (8 * 4 + -1a * 4) = 7(a + 8) (32 + -4a) = 7(a + 8) Reorder the terms: 32 + -4a = 7(8 + a) 32 + -4a = (8 * 7 + a * 7) 32 + -4a = (56 + 7a) Solving 32 + -4a = 56 + 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 = 56 + 7a + -7a Combine like terms: -4a + -7a = -11a 32 + -11a = 56 + 7a + -7a Combine like terms: 7a + -7a = 0 32 + -11a = 56 + 0 32 + -11a = 56 Add '-32' to each side of the equation. 32 + -32 + -11a = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -11a = 56 + -32 -11a = 56 + -32 Combine like terms: 56 + -32 = 24 -11a = 24 Divide each side by '-11'. a = -2.181818182 Simplifying a = -2.181818182
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