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Simplifying 5 + -4a = 4(8 + 7a) + -5a 5 + -4a = (8 * 4 + 7a * 4) + -5a 5 + -4a = (32 + 28a) + -5a Combine like terms: 28a + -5a = 23a 5 + -4a = 32 + 23a Solving 5 + -4a = 32 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. 5 + -4a + -23a = 32 + 23a + -23a Combine like terms: -4a + -23a = -27a 5 + -27a = 32 + 23a + -23a Combine like terms: 23a + -23a = 0 5 + -27a = 32 + 0 5 + -27a = 32 Add '-5' to each side of the equation. 5 + -5 + -27a = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -27a = 32 + -5 -27a = 32 + -5 Combine like terms: 32 + -5 = 27 -27a = 27 Divide each side by '-27'. a = -1 Simplifying a = -1
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