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Simplifying -5(8a + 3) + 8(a + -8) = 17 Reorder the terms: -5(3 + 8a) + 8(a + -8) = 17 (3 * -5 + 8a * -5) + 8(a + -8) = 17 (-15 + -40a) + 8(a + -8) = 17 Reorder the terms: -15 + -40a + 8(-8 + a) = 17 -15 + -40a + (-8 * 8 + a * 8) = 17 -15 + -40a + (-64 + 8a) = 17 Reorder the terms: -15 + -64 + -40a + 8a = 17 Combine like terms: -15 + -64 = -79 -79 + -40a + 8a = 17 Combine like terms: -40a + 8a = -32a -79 + -32a = 17 Solving -79 + -32a = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -32a = 17 + 79 Combine like terms: -79 + 79 = 0 0 + -32a = 17 + 79 -32a = 17 + 79 Combine like terms: 17 + 79 = 96 -32a = 96 Divide each side by '-32'. a = -3 Simplifying a = -3
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