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Simplifying 17 + 5a = -2(3a + 7) + -2 Reorder the terms: 17 + 5a = -2(7 + 3a) + -2 17 + 5a = (7 * -2 + 3a * -2) + -2 17 + 5a = (-14 + -6a) + -2 Reorder the terms: 17 + 5a = -14 + -2 + -6a Combine like terms: -14 + -2 = -16 17 + 5a = -16 + -6a Solving 17 + 5a = -16 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 17 + 5a + 6a = -16 + -6a + 6a Combine like terms: 5a + 6a = 11a 17 + 11a = -16 + -6a + 6a Combine like terms: -6a + 6a = 0 17 + 11a = -16 + 0 17 + 11a = -16 Add '-17' to each side of the equation. 17 + -17 + 11a = -16 + -17 Combine like terms: 17 + -17 = 0 0 + 11a = -16 + -17 11a = -16 + -17 Combine like terms: -16 + -17 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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