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Simplifying 4(2a + 5) = 7a + 15 Reorder the terms: 4(5 + 2a) = 7a + 15 (5 * 4 + 2a * 4) = 7a + 15 (20 + 8a) = 7a + 15 Reorder the terms: 20 + 8a = 15 + 7a Solving 20 + 8a = 15 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 20 + 8a + -7a = 15 + 7a + -7a Combine like terms: 8a + -7a = 1a 20 + 1a = 15 + 7a + -7a Combine like terms: 7a + -7a = 0 20 + 1a = 15 + 0 20 + 1a = 15 Add '-20' to each side of the equation. 20 + -20 + 1a = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 1a = 15 + -20 1a = 15 + -20 Combine like terms: 15 + -20 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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