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Simplifying 5(2a + 7) = 5(4 + -1a) Reorder the terms: 5(7 + 2a) = 5(4 + -1a) (7 * 5 + 2a * 5) = 5(4 + -1a) (35 + 10a) = 5(4 + -1a) 35 + 10a = (4 * 5 + -1a * 5) 35 + 10a = (20 + -5a) Solving 35 + 10a = 20 + -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. 35 + 10a + 5a = 20 + -5a + 5a Combine like terms: 10a + 5a = 15a 35 + 15a = 20 + -5a + 5a Combine like terms: -5a + 5a = 0 35 + 15a = 20 + 0 35 + 15a = 20 Add '-35' to each side of the equation. 35 + -35 + 15a = 20 + -35 Combine like terms: 35 + -35 = 0 0 + 15a = 20 + -35 15a = 20 + -35 Combine like terms: 20 + -35 = -15 15a = -15 Divide each side by '15'. a = -1 Simplifying a = -1
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