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Simplifying 35 + -1a = -5 + 2(5 + 7a) 35 + -1a = -5 + (5 * 2 + 7a * 2) 35 + -1a = -5 + (10 + 14a) Combine like terms: -5 + 10 = 5 35 + -1a = 5 + 14a Solving 35 + -1a = 5 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 35 + -1a + -14a = 5 + 14a + -14a Combine like terms: -1a + -14a = -15a 35 + -15a = 5 + 14a + -14a Combine like terms: 14a + -14a = 0 35 + -15a = 5 + 0 35 + -15a = 5 Add '-35' to each side of the equation. 35 + -35 + -15a = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -15a = 5 + -35 -15a = 5 + -35 Combine like terms: 5 + -35 = -30 -15a = -30 Divide each side by '-15'. a = 2 Simplifying a = 2
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