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Simplifying 8 + 7(3a + -1) = -1a + 23 Reorder the terms: 8 + 7(-1 + 3a) = -1a + 23 8 + (-1 * 7 + 3a * 7) = -1a + 23 8 + (-7 + 21a) = -1a + 23 Combine like terms: 8 + -7 = 1 1 + 21a = -1a + 23 Reorder the terms: 1 + 21a = 23 + -1a Solving 1 + 21a = 23 + -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. 1 + 21a + a = 23 + -1a + a Combine like terms: 21a + a = 22a 1 + 22a = 23 + -1a + a Combine like terms: -1a + a = 0 1 + 22a = 23 + 0 1 + 22a = 23 Add '-1' to each side of the equation. 1 + -1 + 22a = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 22a = 23 + -1 22a = 23 + -1 Combine like terms: 23 + -1 = 22 22a = 22 Divide each side by '22'. a = 1 Simplifying a = 1
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