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Simplifying 35 = 5(a + -1) Reorder the terms: 35 = 5(-1 + a) 35 = (-1 * 5 + a * 5) 35 = (-5 + 5a) Solving 35 = -5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 35 + -5a = -5 + 5a + -5a Combine like terms: 5a + -5a = 0 35 + -5a = -5 + 0 35 + -5a = -5 Add '-35' to each side of the equation. 35 + -35 + -5a = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -5a = -5 + -35 -5a = -5 + -35 Combine like terms: -5 + -35 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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