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Simplifying 5(2a + -3) = 3(8 + 3a) Reorder the terms: 5(-3 + 2a) = 3(8 + 3a) (-3 * 5 + 2a * 5) = 3(8 + 3a) (-15 + 10a) = 3(8 + 3a) -15 + 10a = (8 * 3 + 3a * 3) -15 + 10a = (24 + 9a) Solving -15 + 10a = 24 + 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 = 24 + 9a + -9a Combine like terms: 10a + -9a = 1a -15 + 1a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 -15 + 1a = 24 + 0 -15 + 1a = 24 Add '15' to each side of the equation. -15 + 15 + 1a = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 1a = 24 + 15 1a = 24 + 15 Combine like terms: 24 + 15 = 39 1a = 39 Divide each side by '1'. a = 39 Simplifying a = 39
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