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Simplifying 2(a + 1) = 6a + 11 Reorder the terms: 2(1 + a) = 6a + 11 (1 * 2 + a * 2) = 6a + 11 (2 + 2a) = 6a + 11 Reorder the terms: 2 + 2a = 11 + 6a Solving 2 + 2a = 11 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2 + 2a + -6a = 11 + 6a + -6a Combine like terms: 2a + -6a = -4a 2 + -4a = 11 + 6a + -6a Combine like terms: 6a + -6a = 0 2 + -4a = 11 + 0 2 + -4a = 11 Add '-2' to each side of the equation. 2 + -2 + -4a = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = 11 + -2 -4a = 11 + -2 Combine like terms: 11 + -2 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25
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