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Simplifying -5(a + 3) + 5(2a + -6) = -3 + 5a Reorder the terms: -5(3 + a) + 5(2a + -6) = -3 + 5a (3 * -5 + a * -5) + 5(2a + -6) = -3 + 5a (-15 + -5a) + 5(2a + -6) = -3 + 5a Reorder the terms: -15 + -5a + 5(-6 + 2a) = -3 + 5a -15 + -5a + (-6 * 5 + 2a * 5) = -3 + 5a -15 + -5a + (-30 + 10a) = -3 + 5a Reorder the terms: -15 + -30 + -5a + 10a = -3 + 5a Combine like terms: -15 + -30 = -45 -45 + -5a + 10a = -3 + 5a Combine like terms: -5a + 10a = 5a -45 + 5a = -3 + 5a Add '-5a' to each side of the equation. -45 + 5a + -5a = -3 + 5a + -5a Combine like terms: 5a + -5a = 0 -45 + 0 = -3 + 5a + -5a -45 = -3 + 5a + -5a Combine like terms: 5a + -5a = 0 -45 = -3 + 0 -45 = -3 Solving -45 = -3 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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