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Simplifying -6a + 17 = -1(4 + 5a) + 2a Reorder the terms: 17 + -6a = -1(4 + 5a) + 2a 17 + -6a = (4 * -1 + 5a * -1) + 2a 17 + -6a = (-4 + -5a) + 2a Combine like terms: -5a + 2a = -3a 17 + -6a = -4 + -3a Solving 17 + -6a = -4 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 17 + -6a + 3a = -4 + -3a + 3a Combine like terms: -6a + 3a = -3a 17 + -3a = -4 + -3a + 3a Combine like terms: -3a + 3a = 0 17 + -3a = -4 + 0 17 + -3a = -4 Add '-17' to each side of the equation. 17 + -17 + -3a = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = -4 + -17 -3a = -4 + -17 Combine like terms: -4 + -17 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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