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Simplifying 5(4 + 2a) + -1(8a + -12) = 68 (4 * 5 + 2a * 5) + -1(8a + -12) = 68 (20 + 10a) + -1(8a + -12) = 68 Reorder the terms: 20 + 10a + -1(-12 + 8a) = 68 20 + 10a + (-12 * -1 + 8a * -1) = 68 20 + 10a + (12 + -8a) = 68 Reorder the terms: 20 + 12 + 10a + -8a = 68 Combine like terms: 20 + 12 = 32 32 + 10a + -8a = 68 Combine like terms: 10a + -8a = 2a 32 + 2a = 68 Solving 32 + 2a = 68 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2a = 68 + -32 Combine like terms: 32 + -32 = 0 0 + 2a = 68 + -32 2a = 68 + -32 Combine like terms: 68 + -32 = 36 2a = 36 Divide each side by '2'. a = 18 Simplifying a = 18
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