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