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Simplifying 7 = 1 + -5a + -1a Combine like terms: -5a + -1a = -6a 7 = 1 + -6a Solving 7 = 1 + -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. 7 + 6a = 1 + -6a + 6a Combine like terms: -6a + 6a = 0 7 + 6a = 1 + 0 7 + 6a = 1 Add '-7' to each side of the equation. 7 + -7 + 6a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 1 + -7 6a = 1 + -7 Combine like terms: 1 + -7 = -6 6a = -6 Divide each side by '6'. a = -1 Simplifying a = -1
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