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Simplifying 31a + -2 = 2(4a + 45) Reorder the terms: -2 + 31a = 2(4a + 45) Reorder the terms: -2 + 31a = 2(45 + 4a) -2 + 31a = (45 * 2 + 4a * 2) -2 + 31a = (90 + 8a) Solving -2 + 31a = 90 + 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. -2 + 31a + -8a = 90 + 8a + -8a Combine like terms: 31a + -8a = 23a -2 + 23a = 90 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + 23a = 90 + 0 -2 + 23a = 90 Add '2' to each side of the equation. -2 + 2 + 23a = 90 + 2 Combine like terms: -2 + 2 = 0 0 + 23a = 90 + 2 23a = 90 + 2 Combine like terms: 90 + 2 = 92 23a = 92 Divide each side by '23'. a = 4 Simplifying a = 4
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