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Simplifying 8(a + 1) + 9 = 2a + -7 Reorder the terms: 8(1 + a) + 9 = 2a + -7 (1 * 8 + a * 8) + 9 = 2a + -7 (8 + 8a) + 9 = 2a + -7 Reorder the terms: 8 + 9 + 8a = 2a + -7 Combine like terms: 8 + 9 = 17 17 + 8a = 2a + -7 Reorder the terms: 17 + 8a = -7 + 2a Solving 17 + 8a = -7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 17 + 8a + -2a = -7 + 2a + -2a Combine like terms: 8a + -2a = 6a 17 + 6a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 17 + 6a = -7 + 0 17 + 6a = -7 Add '-17' to each side of the equation. 17 + -17 + 6a = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 6a = -7 + -17 6a = -7 + -17 Combine like terms: -7 + -17 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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