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Simplifying 5(4a + 5) = 3(2a + 6) + 7 Reorder the terms: 5(5 + 4a) = 3(2a + 6) + 7 (5 * 5 + 4a * 5) = 3(2a + 6) + 7 (25 + 20a) = 3(2a + 6) + 7 Reorder the terms: 25 + 20a = 3(6 + 2a) + 7 25 + 20a = (6 * 3 + 2a * 3) + 7 25 + 20a = (18 + 6a) + 7 Reorder the terms: 25 + 20a = 18 + 7 + 6a Combine like terms: 18 + 7 = 25 25 + 20a = 25 + 6a Add '-25' to each side of the equation. 25 + -25 + 20a = 25 + -25 + 6a Combine like terms: 25 + -25 = 0 0 + 20a = 25 + -25 + 6a 20a = 25 + -25 + 6a Combine like terms: 25 + -25 = 0 20a = 0 + 6a 20a = 6a Solving 20a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20a + -6a = 6a + -6a Combine like terms: 20a + -6a = 14a 14a = 6a + -6a Combine like terms: 6a + -6a = 0 14a = 0 Divide each side by '14'. a = 0 Simplifying a = 0
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