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Simplifying 5(a + 3) + -3(a + -7) = 2(a + 6) Reorder the terms: 5(3 + a) + -3(a + -7) = 2(a + 6) (3 * 5 + a * 5) + -3(a + -7) = 2(a + 6) (15 + 5a) + -3(a + -7) = 2(a + 6) Reorder the terms: 15 + 5a + -3(-7 + a) = 2(a + 6) 15 + 5a + (-7 * -3 + a * -3) = 2(a + 6) 15 + 5a + (21 + -3a) = 2(a + 6) Reorder the terms: 15 + 21 + 5a + -3a = 2(a + 6) Combine like terms: 15 + 21 = 36 36 + 5a + -3a = 2(a + 6) Combine like terms: 5a + -3a = 2a 36 + 2a = 2(a + 6) Reorder the terms: 36 + 2a = 2(6 + a) 36 + 2a = (6 * 2 + a * 2) 36 + 2a = (12 + 2a) Add '-2a' to each side of the equation. 36 + 2a + -2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 36 + 0 = 12 + 2a + -2a 36 = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 36 = 12 + 0 36 = 12 Solving 36 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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