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Simplifying 6 + 10a = 78 + a Solving 6 + 10a = 78 + 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. 6 + 10a + -1a = 78 + a + -1a Combine like terms: 10a + -1a = 9a 6 + 9a = 78 + a + -1a Combine like terms: a + -1a = 0 6 + 9a = 78 + 0 6 + 9a = 78 Add '-6' to each side of the equation. 6 + -6 + 9a = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 9a = 78 + -6 9a = 78 + -6 Combine like terms: 78 + -6 = 72 9a = 72 Divide each side by '9'. a = 8 Simplifying a = 8
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