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Simplifying 3(a + 7) + -5a = 7 + -2(a + -4) Reorder the terms: 3(7 + a) + -5a = 7 + -2(a + -4) (7 * 3 + a * 3) + -5a = 7 + -2(a + -4) (21 + 3a) + -5a = 7 + -2(a + -4) Combine like terms: 3a + -5a = -2a 21 + -2a = 7 + -2(a + -4) Reorder the terms: 21 + -2a = 7 + -2(-4 + a) 21 + -2a = 7 + (-4 * -2 + a * -2) 21 + -2a = 7 + (8 + -2a) Combine like terms: 7 + 8 = 15 21 + -2a = 15 + -2a Add '2a' to each side of the equation. 21 + -2a + 2a = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 21 + 0 = 15 + -2a + 2a 21 = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 21 = 15 + 0 21 = 15 Solving 21 = 15 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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