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Simplifying 2(a + 2) + 4a = 9a + 2 + -4 Reorder the terms: 2(2 + a) + 4a = 9a + 2 + -4 (2 * 2 + a * 2) + 4a = 9a + 2 + -4 (4 + 2a) + 4a = 9a + 2 + -4 Combine like terms: 2a + 4a = 6a 4 + 6a = 9a + 2 + -4 Reorder the terms: 4 + 6a = 2 + -4 + 9a Combine like terms: 2 + -4 = -2 4 + 6a = -2 + 9a Solving 4 + 6a = -2 + 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 + 6a + -9a = -2 + 9a + -9a Combine like terms: 6a + -9a = -3a 4 + -3a = -2 + 9a + -9a Combine like terms: 9a + -9a = 0 4 + -3a = -2 + 0 4 + -3a = -2 Add '-4' to each side of the equation. 4 + -4 + -3a = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = -2 + -4 -3a = -2 + -4 Combine like terms: -2 + -4 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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