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Simplifying 3(a + 5) + 3a = 12a + -3(a + -3) + -2 Reorder the terms: 3(5 + a) + 3a = 12a + -3(a + -3) + -2 (5 * 3 + a * 3) + 3a = 12a + -3(a + -3) + -2 (15 + 3a) + 3a = 12a + -3(a + -3) + -2 Combine like terms: 3a + 3a = 6a 15 + 6a = 12a + -3(a + -3) + -2 Reorder the terms: 15 + 6a = 12a + -3(-3 + a) + -2 15 + 6a = 12a + (-3 * -3 + a * -3) + -2 15 + 6a = 12a + (9 + -3a) + -2 Reorder the terms: 15 + 6a = 9 + -2 + 12a + -3a Combine like terms: 9 + -2 = 7 15 + 6a = 7 + 12a + -3a Combine like terms: 12a + -3a = 9a 15 + 6a = 7 + 9a Solving 15 + 6a = 7 + 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. 15 + 6a + -9a = 7 + 9a + -9a Combine like terms: 6a + -9a = -3a 15 + -3a = 7 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + -3a = 7 + 0 15 + -3a = 7 Add '-15' to each side of the equation. 15 + -15 + -3a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = 7 + -15 -3a = 7 + -15 Combine like terms: 7 + -15 = -8 -3a = -8 Divide each side by '-3'. a = 2.666666667 Simplifying a = 2.666666667
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