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Simplifying -3(4a + -3) + -2a = -18 + -5a Reorder the terms: -3(-3 + 4a) + -2a = -18 + -5a (-3 * -3 + 4a * -3) + -2a = -18 + -5a (9 + -12a) + -2a = -18 + -5a Combine like terms: -12a + -2a = -14a 9 + -14a = -18 + -5a Solving 9 + -14a = -18 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 9 + -14a + 5a = -18 + -5a + 5a Combine like terms: -14a + 5a = -9a 9 + -9a = -18 + -5a + 5a Combine like terms: -5a + 5a = 0 9 + -9a = -18 + 0 9 + -9a = -18 Add '-9' to each side of the equation. 9 + -9 + -9a = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -9a = -18 + -9 -9a = -18 + -9 Combine like terms: -18 + -9 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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