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Simplifying 9(4a + -2) = 13(3a + 8) Reorder the terms: 9(-2 + 4a) = 13(3a + 8) (-2 * 9 + 4a * 9) = 13(3a + 8) (-18 + 36a) = 13(3a + 8) Reorder the terms: -18 + 36a = 13(8 + 3a) -18 + 36a = (8 * 13 + 3a * 13) -18 + 36a = (104 + 39a) Solving -18 + 36a = 104 + 39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39a' to each side of the equation. -18 + 36a + -39a = 104 + 39a + -39a Combine like terms: 36a + -39a = -3a -18 + -3a = 104 + 39a + -39a Combine like terms: 39a + -39a = 0 -18 + -3a = 104 + 0 -18 + -3a = 104 Add '18' to each side of the equation. -18 + 18 + -3a = 104 + 18 Combine like terms: -18 + 18 = 0 0 + -3a = 104 + 18 -3a = 104 + 18 Combine like terms: 104 + 18 = 122 -3a = 122 Divide each side by '-3'. a = -40.66666667 Simplifying a = -40.66666667
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