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Simplifying 7(-2a + 5) = 8a + -31 Reorder the terms: 7(5 + -2a) = 8a + -31 (5 * 7 + -2a * 7) = 8a + -31 (35 + -14a) = 8a + -31 Reorder the terms: 35 + -14a = -31 + 8a Solving 35 + -14a = -31 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 35 + -14a + -8a = -31 + 8a + -8a Combine like terms: -14a + -8a = -22a 35 + -22a = -31 + 8a + -8a Combine like terms: 8a + -8a = 0 35 + -22a = -31 + 0 35 + -22a = -31 Add '-35' to each side of the equation. 35 + -35 + -22a = -31 + -35 Combine like terms: 35 + -35 = 0 0 + -22a = -31 + -35 -22a = -31 + -35 Combine like terms: -31 + -35 = -66 -22a = -66 Divide each side by '-22'. a = 3 Simplifying a = 3
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