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Simplifying 13(3a + -1) + -5 = 7(2 + 5a) Reorder the terms: 13(-1 + 3a) + -5 = 7(2 + 5a) (-1 * 13 + 3a * 13) + -5 = 7(2 + 5a) (-13 + 39a) + -5 = 7(2 + 5a) Reorder the terms: -13 + -5 + 39a = 7(2 + 5a) Combine like terms: -13 + -5 = -18 -18 + 39a = 7(2 + 5a) -18 + 39a = (2 * 7 + 5a * 7) -18 + 39a = (14 + 35a) Solving -18 + 39a = 14 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -18 + 39a + -35a = 14 + 35a + -35a Combine like terms: 39a + -35a = 4a -18 + 4a = 14 + 35a + -35a Combine like terms: 35a + -35a = 0 -18 + 4a = 14 + 0 -18 + 4a = 14 Add '18' to each side of the equation. -18 + 18 + 4a = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 4a = 14 + 18 4a = 14 + 18 Combine like terms: 14 + 18 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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