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Simplifying a + 40 + 31 = 8a + -13 Reorder the terms: 40 + 31 + a = 8a + -13 Combine like terms: 40 + 31 = 71 71 + a = 8a + -13 Reorder the terms: 71 + a = -13 + 8a Solving 71 + a = -13 + 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. 71 + a + -8a = -13 + 8a + -8a Combine like terms: a + -8a = -7a 71 + -7a = -13 + 8a + -8a Combine like terms: 8a + -8a = 0 71 + -7a = -13 + 0 71 + -7a = -13 Add '-71' to each side of the equation. 71 + -71 + -7a = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -7a = -13 + -71 -7a = -13 + -71 Combine like terms: -13 + -71 = -84 -7a = -84 Divide each side by '-7'. a = 12 Simplifying a = 12
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