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Simplifying 10(a + 1) + -14a = 19 + -1(4a + -1) Reorder the terms: 10(1 + a) + -14a = 19 + -1(4a + -1) (1 * 10 + a * 10) + -14a = 19 + -1(4a + -1) (10 + 10a) + -14a = 19 + -1(4a + -1) Combine like terms: 10a + -14a = -4a 10 + -4a = 19 + -1(4a + -1) Reorder the terms: 10 + -4a = 19 + -1(-1 + 4a) 10 + -4a = 19 + (-1 * -1 + 4a * -1) 10 + -4a = 19 + (1 + -4a) Combine like terms: 19 + 1 = 20 10 + -4a = 20 + -4a Add '4a' to each side of the equation. 10 + -4a + 4a = 20 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 0 = 20 + -4a + 4a 10 = 20 + -4a + 4a Combine like terms: -4a + 4a = 0 10 = 20 + 0 10 = 20 Solving 10 = 20 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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