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Simplifying 8a + -10a = 4(1 + -4a) + 2(7a + 3) Combine like terms: 8a + -10a = -2a -2a = 4(1 + -4a) + 2(7a + 3) -2a = (1 * 4 + -4a * 4) + 2(7a + 3) -2a = (4 + -16a) + 2(7a + 3) Reorder the terms: -2a = 4 + -16a + 2(3 + 7a) -2a = 4 + -16a + (3 * 2 + 7a * 2) -2a = 4 + -16a + (6 + 14a) Reorder the terms: -2a = 4 + 6 + -16a + 14a Combine like terms: 4 + 6 = 10 -2a = 10 + -16a + 14a Combine like terms: -16a + 14a = -2a -2a = 10 + -2a Add '2a' to each side of the equation. -2a + 2a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 0 = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 0 = 10 + 0 0 = 10 Solving 0 = 10 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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