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Simplifying 7(a + 5) = 2(a + 5) Reorder the terms: 7(5 + a) = 2(a + 5) (5 * 7 + a * 7) = 2(a + 5) (35 + 7a) = 2(a + 5) Reorder the terms: 35 + 7a = 2(5 + a) 35 + 7a = (5 * 2 + a * 2) 35 + 7a = (10 + 2a) Solving 35 + 7a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 35 + 7a + -2a = 10 + 2a + -2a Combine like terms: 7a + -2a = 5a 35 + 5a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 35 + 5a = 10 + 0 35 + 5a = 10 Add '-35' to each side of the equation. 35 + -35 + 5a = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 5a = 10 + -35 5a = 10 + -35 Combine like terms: 10 + -35 = -25 5a = -25 Divide each side by '5'. a = -5 Simplifying a = -5
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