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Simplifying -2a + 3(3a + 3) = 4(-3a + -3) + 2 Reorder the terms: -2a + 3(3 + 3a) = 4(-3a + -3) + 2 -2a + (3 * 3 + 3a * 3) = 4(-3a + -3) + 2 -2a + (9 + 9a) = 4(-3a + -3) + 2 Reorder the terms: 9 + -2a + 9a = 4(-3a + -3) + 2 Combine like terms: -2a + 9a = 7a 9 + 7a = 4(-3a + -3) + 2 Reorder the terms: 9 + 7a = 4(-3 + -3a) + 2 9 + 7a = (-3 * 4 + -3a * 4) + 2 9 + 7a = (-12 + -12a) + 2 Reorder the terms: 9 + 7a = -12 + 2 + -12a Combine like terms: -12 + 2 = -10 9 + 7a = -10 + -12a Solving 9 + 7a = -10 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 9 + 7a + 12a = -10 + -12a + 12a Combine like terms: 7a + 12a = 19a 9 + 19a = -10 + -12a + 12a Combine like terms: -12a + 12a = 0 9 + 19a = -10 + 0 9 + 19a = -10 Add '-9' to each side of the equation. 9 + -9 + 19a = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 19a = -10 + -9 19a = -10 + -9 Combine like terms: -10 + -9 = -19 19a = -19 Divide each side by '19'. a = -1 Simplifying a = -1
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