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Simplifying 6(a + 2) = 13a + 11 + -6a Reorder the terms: 6(2 + a) = 13a + 11 + -6a (2 * 6 + a * 6) = 13a + 11 + -6a (12 + 6a) = 13a + 11 + -6a Reorder the terms: 12 + 6a = 11 + 13a + -6a Combine like terms: 13a + -6a = 7a 12 + 6a = 11 + 7a Solving 12 + 6a = 11 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 6a + -7a = 11 + 7a + -7a Combine like terms: 6a + -7a = -1a 12 + -1a = 11 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -1a = 11 + 0 12 + -1a = 11 Add '-12' to each side of the equation. 12 + -12 + -1a = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 11 + -12 -1a = 11 + -12 Combine like terms: 11 + -12 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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