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Simplifying 4a + -3(a + -9) = 2 + 2a Reorder the terms: 4a + -3(-9 + a) = 2 + 2a 4a + (-9 * -3 + a * -3) = 2 + 2a 4a + (27 + -3a) = 2 + 2a Reorder the terms: 27 + 4a + -3a = 2 + 2a Combine like terms: 4a + -3a = 1a 27 + 1a = 2 + 2a Solving 27 + 1a = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 27 + 1a + -2a = 2 + 2a + -2a Combine like terms: 1a + -2a = -1a 27 + -1a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 27 + -1a = 2 + 0 27 + -1a = 2 Add '-27' to each side of the equation. 27 + -27 + -1a = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -1a = 2 + -27 -1a = 2 + -27 Combine like terms: 2 + -27 = -25 -1a = -25 Divide each side by '-1'. a = 25 Simplifying a = 25
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