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Simplifying 1 + -8a = 7 + -1a + 7 Reorder the terms: 1 + -8a = 7 + 7 + -1a Combine like terms: 7 + 7 = 14 1 + -8a = 14 + -1a Solving 1 + -8a = 14 + -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 + -8a + a = 14 + -1a + a Combine like terms: -8a + a = -7a 1 + -7a = 14 + -1a + a Combine like terms: -1a + a = 0 1 + -7a = 14 + 0 1 + -7a = 14 Add '-1' to each side of the equation. 1 + -1 + -7a = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -7a = 14 + -1 -7a = 14 + -1 Combine like terms: 14 + -1 = 13 -7a = 13 Divide each side by '-7'. a = -1.857142857 Simplifying a = -1.857142857
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