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Simplifying 2(8a + 8) = 33 + -1a Reorder the terms: 2(8 + 8a) = 33 + -1a (8 * 2 + 8a * 2) = 33 + -1a (16 + 16a) = 33 + -1a Solving 16 + 16a = 33 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 16 + 16a + a = 33 + -1a + a Combine like terms: 16a + a = 17a 16 + 17a = 33 + -1a + a Combine like terms: -1a + a = 0 16 + 17a = 33 + 0 16 + 17a = 33 Add '-16' to each side of the equation. 16 + -16 + 17a = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 17a = 33 + -16 17a = 33 + -16 Combine like terms: 33 + -16 = 17 17a = 17 Divide each side by '17'. a = 1 Simplifying a = 1
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