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Simplifying 69 = -1 + 2(5a + 5) Reorder the terms: 69 = -1 + 2(5 + 5a) 69 = -1 + (5 * 2 + 5a * 2) 69 = -1 + (10 + 10a) Combine like terms: -1 + 10 = 9 69 = 9 + 10a Solving 69 = 9 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 69 + -10a = 9 + 10a + -10a Combine like terms: 10a + -10a = 0 69 + -10a = 9 + 0 69 + -10a = 9 Add '-69' to each side of the equation. 69 + -69 + -10a = 9 + -69 Combine like terms: 69 + -69 = 0 0 + -10a = 9 + -69 -10a = 9 + -69 Combine like terms: 9 + -69 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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