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Simplifying a + 6 + 5 + 11 = 4a + 1 Reorder the terms: 6 + 5 + 11 + a = 4a + 1 Combine like terms: 6 + 5 = 11 11 + 11 + a = 4a + 1 Combine like terms: 11 + 11 = 22 22 + a = 4a + 1 Reorder the terms: 22 + a = 1 + 4a Solving 22 + a = 1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 22 + a + -4a = 1 + 4a + -4a Combine like terms: a + -4a = -3a 22 + -3a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 22 + -3a = 1 + 0 22 + -3a = 1 Add '-22' to each side of the equation. 22 + -22 + -3a = 1 + -22 Combine like terms: 22 + -22 = 0 0 + -3a = 1 + -22 -3a = 1 + -22 Combine like terms: 1 + -22 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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