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Simplifying 2(5a + -2) = 3(3a + 4) Reorder the terms: 2(-2 + 5a) = 3(3a + 4) (-2 * 2 + 5a * 2) = 3(3a + 4) (-4 + 10a) = 3(3a + 4) Reorder the terms: -4 + 10a = 3(4 + 3a) -4 + 10a = (4 * 3 + 3a * 3) -4 + 10a = (12 + 9a) Solving -4 + 10a = 12 + 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. -4 + 10a + -9a = 12 + 9a + -9a Combine like terms: 10a + -9a = 1a -4 + 1a = 12 + 9a + -9a Combine like terms: 9a + -9a = 0 -4 + 1a = 12 + 0 -4 + 1a = 12 Add '4' to each side of the equation. -4 + 4 + 1a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 1a = 12 + 4 1a = 12 + 4 Combine like terms: 12 + 4 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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