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Simplifying 2(2a + -4) = 3(a + 3) Reorder the terms: 2(-4 + 2a) = 3(a + 3) (-4 * 2 + 2a * 2) = 3(a + 3) (-8 + 4a) = 3(a + 3) Reorder the terms: -8 + 4a = 3(3 + a) -8 + 4a = (3 * 3 + a * 3) -8 + 4a = (9 + 3a) Solving -8 + 4a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 4a + -3a = 9 + 3a + -3a Combine like terms: 4a + -3a = 1a -8 + 1a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 1a = 9 + 0 -8 + 1a = 9 Add '8' to each side of the equation. -8 + 8 + 1a = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 9 + 8 1a = 9 + 8 Combine like terms: 9 + 8 = 17 1a = 17 Divide each side by '1'. a = 17 Simplifying a = 17
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