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Simplifying 6 + -7a + -7 = 7 + a Reorder the terms: 6 + -7 + -7a = 7 + a Combine like terms: 6 + -7 = -1 -1 + -7a = 7 + a Solving -1 + -7a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + -7a + -1a = 7 + a + -1a Combine like terms: -7a + -1a = -8a -1 + -8a = 7 + a + -1a Combine like terms: a + -1a = 0 -1 + -8a = 7 + 0 -1 + -8a = 7 Add '1' to each side of the equation. -1 + 1 + -8a = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = 7 + 1 -8a = 7 + 1 Combine like terms: 7 + 1 = 8 -8a = 8 Divide each side by '-8'. a = -1 Simplifying a = -1
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