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Simplifying 3(2a + -3) = 5(a + 2) Reorder the terms: 3(-3 + 2a) = 5(a + 2) (-3 * 3 + 2a * 3) = 5(a + 2) (-9 + 6a) = 5(a + 2) Reorder the terms: -9 + 6a = 5(2 + a) -9 + 6a = (2 * 5 + a * 5) -9 + 6a = (10 + 5a) Solving -9 + 6a = 10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -9 + 6a + -5a = 10 + 5a + -5a Combine like terms: 6a + -5a = 1a -9 + 1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + 1a = 10 + 0 -9 + 1a = 10 Add '9' to each side of the equation. -9 + 9 + 1a = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = 10 + 9 1a = 10 + 9 Combine like terms: 10 + 9 = 19 1a = 19 Divide each side by '1'. a = 19 Simplifying a = 19
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