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Simplifying 10a + 6 = 11a + 1 Reorder the terms: 6 + 10a = 11a + 1 Reorder the terms: 6 + 10a = 1 + 11a Solving 6 + 10a = 1 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 6 + 10a + -11a = 1 + 11a + -11a Combine like terms: 10a + -11a = -1a 6 + -1a = 1 + 11a + -11a Combine like terms: 11a + -11a = 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 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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