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Simplifying 5(2a + 5) = 5(3a + 4) Reorder the terms: 5(5 + 2a) = 5(3a + 4) (5 * 5 + 2a * 5) = 5(3a + 4) (25 + 10a) = 5(3a + 4) Reorder the terms: 25 + 10a = 5(4 + 3a) 25 + 10a = (4 * 5 + 3a * 5) 25 + 10a = (20 + 15a) Solving 25 + 10a = 20 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 25 + 10a + -15a = 20 + 15a + -15a Combine like terms: 10a + -15a = -5a 25 + -5a = 20 + 15a + -15a Combine like terms: 15a + -15a = 0 25 + -5a = 20 + 0 25 + -5a = 20 Add '-25' to each side of the equation. 25 + -25 + -5a = 20 + -25 Combine like terms: 25 + -25 = 0 0 + -5a = 20 + -25 -5a = 20 + -25 Combine like terms: 20 + -25 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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