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Simplifying -8(4a + 2) = 17 + a Reorder the terms: -8(2 + 4a) = 17 + a (2 * -8 + 4a * -8) = 17 + a (-16 + -32a) = 17 + a Solving -16 + -32a = 17 + 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. -16 + -32a + -1a = 17 + a + -1a Combine like terms: -32a + -1a = -33a -16 + -33a = 17 + a + -1a Combine like terms: a + -1a = 0 -16 + -33a = 17 + 0 -16 + -33a = 17 Add '16' to each side of the equation. -16 + 16 + -33a = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -33a = 17 + 16 -33a = 17 + 16 Combine like terms: 17 + 16 = 33 -33a = 33 Divide each side by '-33'. a = -1 Simplifying a = -1
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