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Simplifying 11a + -6 = 5a + 5 + 5a Reorder the terms: -6 + 11a = 5a + 5 + 5a Reorder the terms: -6 + 11a = 5 + 5a + 5a Combine like terms: 5a + 5a = 10a -6 + 11a = 5 + 10a Solving -6 + 11a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -6 + 11a + -10a = 5 + 10a + -10a Combine like terms: 11a + -10a = 1a -6 + 1a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 -6 + 1a = 5 + 0 -6 + 1a = 5 Add '6' to each side of the equation. -6 + 6 + 1a = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 5 + 6 1a = 5 + 6 Combine like terms: 5 + 6 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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