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Simplifying 2(4a + -2) = 3(5 + 2a) Reorder the terms: 2(-2 + 4a) = 3(5 + 2a) (-2 * 2 + 4a * 2) = 3(5 + 2a) (-4 + 8a) = 3(5 + 2a) -4 + 8a = (5 * 3 + 2a * 3) -4 + 8a = (15 + 6a) Solving -4 + 8a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + 8a + -6a = 15 + 6a + -6a Combine like terms: 8a + -6a = 2a -4 + 2a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + 2a = 15 + 0 -4 + 2a = 15 Add '4' to each side of the equation. -4 + 4 + 2a = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 15 + 4 2a = 15 + 4 Combine like terms: 15 + 4 = 19 2a = 19 Divide each side by '2'. a = 9.5 Simplifying a = 9.5
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