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Simplifying 7(4a + -1) = 13(2a + 1) Reorder the terms: 7(-1 + 4a) = 13(2a + 1) (-1 * 7 + 4a * 7) = 13(2a + 1) (-7 + 28a) = 13(2a + 1) Reorder the terms: -7 + 28a = 13(1 + 2a) -7 + 28a = (1 * 13 + 2a * 13) -7 + 28a = (13 + 26a) Solving -7 + 28a = 13 + 26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26a' to each side of the equation. -7 + 28a + -26a = 13 + 26a + -26a Combine like terms: 28a + -26a = 2a -7 + 2a = 13 + 26a + -26a Combine like terms: 26a + -26a = 0 -7 + 2a = 13 + 0 -7 + 2a = 13 Add '7' to each side of the equation. -7 + 7 + 2a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 13 + 7 2a = 13 + 7 Combine like terms: 13 + 7 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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