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Simplifying -1a + 16 = a + 6 + -7a Reorder the terms: 16 + -1a = a + 6 + -7a Reorder the terms: 16 + -1a = 6 + a + -7a Combine like terms: a + -7a = -6a 16 + -1a = 6 + -6a Solving 16 + -1a = 6 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 16 + -1a + 6a = 6 + -6a + 6a Combine like terms: -1a + 6a = 5a 16 + 5a = 6 + -6a + 6a Combine like terms: -6a + 6a = 0 16 + 5a = 6 + 0 16 + 5a = 6 Add '-16' to each side of the equation. 16 + -16 + 5a = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 5a = 6 + -16 5a = 6 + -16 Combine like terms: 6 + -16 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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