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Simplifying 3(a + 5) = 5(a + 7) Reorder the terms: 3(5 + a) = 5(a + 7) (5 * 3 + a * 3) = 5(a + 7) (15 + 3a) = 5(a + 7) Reorder the terms: 15 + 3a = 5(7 + a) 15 + 3a = (7 * 5 + a * 5) 15 + 3a = (35 + 5a) Solving 15 + 3a = 35 + 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. 15 + 3a + -5a = 35 + 5a + -5a Combine like terms: 3a + -5a = -2a 15 + -2a = 35 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + -2a = 35 + 0 15 + -2a = 35 Add '-15' to each side of the equation. 15 + -15 + -2a = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -2a = 35 + -15 -2a = 35 + -15 Combine like terms: 35 + -15 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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