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Simplifying -17 + 7a = 5(a + -4) + a Reorder the terms: -17 + 7a = 5(-4 + a) + a -17 + 7a = (-4 * 5 + a * 5) + a -17 + 7a = (-20 + 5a) + a Combine like terms: 5a + a = 6a -17 + 7a = -20 + 6a Solving -17 + 7a = -20 + 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 + 7a + -6a = -20 + 6a + -6a Combine like terms: 7a + -6a = 1a -17 + 1a = -20 + 6a + -6a Combine like terms: 6a + -6a = 0 -17 + 1a = -20 + 0 -17 + 1a = -20 Add '17' to each side of the equation. -17 + 17 + 1a = -20 + 17 Combine like terms: -17 + 17 = 0 0 + 1a = -20 + 17 1a = -20 + 17 Combine like terms: -20 + 17 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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