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Simplifying 5(5a + 8) + 2(-2a + 3) = 67 Reorder the terms: 5(8 + 5a) + 2(-2a + 3) = 67 (8 * 5 + 5a * 5) + 2(-2a + 3) = 67 (40 + 25a) + 2(-2a + 3) = 67 Reorder the terms: 40 + 25a + 2(3 + -2a) = 67 40 + 25a + (3 * 2 + -2a * 2) = 67 40 + 25a + (6 + -4a) = 67 Reorder the terms: 40 + 6 + 25a + -4a = 67 Combine like terms: 40 + 6 = 46 46 + 25a + -4a = 67 Combine like terms: 25a + -4a = 21a 46 + 21a = 67 Solving 46 + 21a = 67 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 21a = 67 + -46 Combine like terms: 46 + -46 = 0 0 + 21a = 67 + -46 21a = 67 + -46 Combine like terms: 67 + -46 = 21 21a = 21 Divide each side by '21'. a = 1 Simplifying a = 1
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