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Simplifying 3(a + 3) + -2 = 4(a + -6) + a Reorder the terms: 3(3 + a) + -2 = 4(a + -6) + a (3 * 3 + a * 3) + -2 = 4(a + -6) + a (9 + 3a) + -2 = 4(a + -6) + a Reorder the terms: 9 + -2 + 3a = 4(a + -6) + a Combine like terms: 9 + -2 = 7 7 + 3a = 4(a + -6) + a Reorder the terms: 7 + 3a = 4(-6 + a) + a 7 + 3a = (-6 * 4 + a * 4) + a 7 + 3a = (-24 + 4a) + a Combine like terms: 4a + a = 5a 7 + 3a = -24 + 5a Solving 7 + 3a = -24 + 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. 7 + 3a + -5a = -24 + 5a + -5a Combine like terms: 3a + -5a = -2a 7 + -2a = -24 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -2a = -24 + 0 7 + -2a = -24 Add '-7' to each side of the equation. 7 + -7 + -2a = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = -24 + -7 -2a = -24 + -7 Combine like terms: -24 + -7 = -31 -2a = -31 Divide each side by '-2'. a = 15.5 Simplifying a = 15.5
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