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Simplifying 6(5a + -1) + -13(2a + 5) = 2(7 + -2a) Reorder the terms: 6(-1 + 5a) + -13(2a + 5) = 2(7 + -2a) (-1 * 6 + 5a * 6) + -13(2a + 5) = 2(7 + -2a) (-6 + 30a) + -13(2a + 5) = 2(7 + -2a) Reorder the terms: -6 + 30a + -13(5 + 2a) = 2(7 + -2a) -6 + 30a + (5 * -13 + 2a * -13) = 2(7 + -2a) -6 + 30a + (-65 + -26a) = 2(7 + -2a) Reorder the terms: -6 + -65 + 30a + -26a = 2(7 + -2a) Combine like terms: -6 + -65 = -71 -71 + 30a + -26a = 2(7 + -2a) Combine like terms: 30a + -26a = 4a -71 + 4a = 2(7 + -2a) -71 + 4a = (7 * 2 + -2a * 2) -71 + 4a = (14 + -4a) Solving -71 + 4a = 14 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -71 + 4a + 4a = 14 + -4a + 4a Combine like terms: 4a + 4a = 8a -71 + 8a = 14 + -4a + 4a Combine like terms: -4a + 4a = 0 -71 + 8a = 14 + 0 -71 + 8a = 14 Add '71' to each side of the equation. -71 + 71 + 8a = 14 + 71 Combine like terms: -71 + 71 = 0 0 + 8a = 14 + 71 8a = 14 + 71 Combine like terms: 14 + 71 = 85 8a = 85 Divide each side by '8'. a = 10.625 Simplifying a = 10.625
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