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Simplifying 5(a + -2) + -3 = 3a + 7 + 2a Reorder the terms: 5(-2 + a) + -3 = 3a + 7 + 2a (-2 * 5 + a * 5) + -3 = 3a + 7 + 2a (-10 + 5a) + -3 = 3a + 7 + 2a Reorder the terms: -10 + -3 + 5a = 3a + 7 + 2a Combine like terms: -10 + -3 = -13 -13 + 5a = 3a + 7 + 2a Reorder the terms: -13 + 5a = 7 + 3a + 2a Combine like terms: 3a + 2a = 5a -13 + 5a = 7 + 5a Add '-5a' to each side of the equation. -13 + 5a + -5a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -13 + 0 = 7 + 5a + -5a -13 = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -13 = 7 + 0 -13 = 7 Solving -13 = 7 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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