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Simplifying 180 + -1a = 10 + 5(90 + -1a) 180 + -1a = 10 + (90 * 5 + -1a * 5) 180 + -1a = 10 + (450 + -5a) Combine like terms: 10 + 450 = 460 180 + -1a = 460 + -5a Solving 180 + -1a = 460 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 180 + -1a + 5a = 460 + -5a + 5a Combine like terms: -1a + 5a = 4a 180 + 4a = 460 + -5a + 5a Combine like terms: -5a + 5a = 0 180 + 4a = 460 + 0 180 + 4a = 460 Add '-180' to each side of the equation. 180 + -180 + 4a = 460 + -180 Combine like terms: 180 + -180 = 0 0 + 4a = 460 + -180 4a = 460 + -180 Combine like terms: 460 + -180 = 280 4a = 280 Divide each side by '4'. a = 70 Simplifying a = 70
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