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Simplifying 5(2a + 3) = -3(-3a + 3) Reorder the terms: 5(3 + 2a) = -3(-3a + 3) (3 * 5 + 2a * 5) = -3(-3a + 3) (15 + 10a) = -3(-3a + 3) Reorder the terms: 15 + 10a = -3(3 + -3a) 15 + 10a = (3 * -3 + -3a * -3) 15 + 10a = (-9 + 9a) Solving 15 + 10a = -9 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 15 + 10a + -9a = -9 + 9a + -9a Combine like terms: 10a + -9a = 1a 15 + 1a = -9 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + 1a = -9 + 0 15 + 1a = -9 Add '-15' to each side of the equation. 15 + -15 + 1a = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 1a = -9 + -15 1a = -9 + -15 Combine like terms: -9 + -15 = -24 1a = -24 Divide each side by '1'. a = -24 Simplifying a = -24
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