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