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Simplifying 3(2a + 5) = 5(3a + -6) Reorder the terms: 3(5 + 2a) = 5(3a + -6) (5 * 3 + 2a * 3) = 5(3a + -6) (15 + 6a) = 5(3a + -6) Reorder the terms: 15 + 6a = 5(-6 + 3a) 15 + 6a = (-6 * 5 + 3a * 5) 15 + 6a = (-30 + 15a) Solving 15 + 6a = -30 + 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. 15 + 6a + -15a = -30 + 15a + -15a Combine like terms: 6a + -15a = -9a 15 + -9a = -30 + 15a + -15a Combine like terms: 15a + -15a = 0 15 + -9a = -30 + 0 15 + -9a = -30 Add '-15' to each side of the equation. 15 + -15 + -9a = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -9a = -30 + -15 -9a = -30 + -15 Combine like terms: -30 + -15 = -45 -9a = -45 Divide each side by '-9'. a = 5 Simplifying a = 5
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