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Simplifying 8(2a + 5) + -2 = 9(3 + a) + 6a Reorder the terms: 8(5 + 2a) + -2 = 9(3 + a) + 6a (5 * 8 + 2a * 8) + -2 = 9(3 + a) + 6a (40 + 16a) + -2 = 9(3 + a) + 6a Reorder the terms: 40 + -2 + 16a = 9(3 + a) + 6a Combine like terms: 40 + -2 = 38 38 + 16a = 9(3 + a) + 6a 38 + 16a = (3 * 9 + a * 9) + 6a 38 + 16a = (27 + 9a) + 6a Combine like terms: 9a + 6a = 15a 38 + 16a = 27 + 15a Solving 38 + 16a = 27 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 38 + 16a + -15a = 27 + 15a + -15a Combine like terms: 16a + -15a = 1a 38 + 1a = 27 + 15a + -15a Combine like terms: 15a + -15a = 0 38 + 1a = 27 + 0 38 + 1a = 27 Add '-38' to each side of the equation. 38 + -38 + 1a = 27 + -38 Combine like terms: 38 + -38 = 0 0 + 1a = 27 + -38 1a = 27 + -38 Combine like terms: 27 + -38 = -11 1a = -11 Divide each side by '1'. a = -11 Simplifying a = -11
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