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Simplifying 8(8 + 2a) = 34 + a (8 * 8 + 2a * 8) = 34 + a (64 + 16a) = 34 + a Solving 64 + 16a = 34 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 64 + 16a + -1a = 34 + a + -1a Combine like terms: 16a + -1a = 15a 64 + 15a = 34 + a + -1a Combine like terms: a + -1a = 0 64 + 15a = 34 + 0 64 + 15a = 34 Add '-64' to each side of the equation. 64 + -64 + 15a = 34 + -64 Combine like terms: 64 + -64 = 0 0 + 15a = 34 + -64 15a = 34 + -64 Combine like terms: 34 + -64 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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