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Simplifying 16 = 7 + -1(a + 8) Reorder the terms: 16 = 7 + -1(8 + a) 16 = 7 + (8 * -1 + a * -1) 16 = 7 + (-8 + -1a) Combine like terms: 7 + -8 = -1 16 = -1 + -1a Solving 16 = -1 + -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. 16 + a = -1 + -1a + a Combine like terms: -1a + a = 0 16 + a = -1 + 0 16 + a = -1 Add '-16' to each side of the equation. 16 + -16 + a = -1 + -16 Combine like terms: 16 + -16 = 0 0 + a = -1 + -16 a = -1 + -16 Combine like terms: -1 + -16 = -17 a = -17 Simplifying a = -17
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