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Simplifying 7(a + -2) + 5(a + -4) = 12a Reorder the terms: 7(-2 + a) + 5(a + -4) = 12a (-2 * 7 + a * 7) + 5(a + -4) = 12a (-14 + 7a) + 5(a + -4) = 12a Reorder the terms: -14 + 7a + 5(-4 + a) = 12a -14 + 7a + (-4 * 5 + a * 5) = 12a -14 + 7a + (-20 + 5a) = 12a Reorder the terms: -14 + -20 + 7a + 5a = 12a Combine like terms: -14 + -20 = -34 -34 + 7a + 5a = 12a Combine like terms: 7a + 5a = 12a -34 + 12a = 12a Add '-12a' to each side of the equation. -34 + 12a + -12a = 12a + -12a Combine like terms: 12a + -12a = 0 -34 + 0 = 12a + -12a -34 = 12a + -12a Combine like terms: 12a + -12a = 0 -34 = 0 Solving -34 = 0 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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