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Simplifying -7a + -17 = -1(a + -1) Reorder the terms: -17 + -7a = -1(a + -1) Reorder the terms: -17 + -7a = -1(-1 + a) -17 + -7a = (-1 * -1 + a * -1) -17 + -7a = (1 + -1a) Solving -17 + -7a = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -17 + -7a + a = 1 + -1a + a Combine like terms: -7a + a = -6a -17 + -6a = 1 + -1a + a Combine like terms: -1a + a = 0 -17 + -6a = 1 + 0 -17 + -6a = 1 Add '17' to each side of the equation. -17 + 17 + -6a = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -6a = 1 + 17 -6a = 1 + 17 Combine like terms: 1 + 17 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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