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Simplifying 5(-4a + 8) + 5 = 18 + 7a Reorder the terms: 5(8 + -4a) + 5 = 18 + 7a (8 * 5 + -4a * 5) + 5 = 18 + 7a (40 + -20a) + 5 = 18 + 7a Reorder the terms: 40 + 5 + -20a = 18 + 7a Combine like terms: 40 + 5 = 45 45 + -20a = 18 + 7a Solving 45 + -20a = 18 + 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. 45 + -20a + -7a = 18 + 7a + -7a Combine like terms: -20a + -7a = -27a 45 + -27a = 18 + 7a + -7a Combine like terms: 7a + -7a = 0 45 + -27a = 18 + 0 45 + -27a = 18 Add '-45' to each side of the equation. 45 + -45 + -27a = 18 + -45 Combine like terms: 45 + -45 = 0 0 + -27a = 18 + -45 -27a = 18 + -45 Combine like terms: 18 + -45 = -27 -27a = -27 Divide each side by '-27'. a = 1 Simplifying a = 1
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