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Simplifying 2a + -8 = 2(a + 1) + 11a + 2 Reorder the terms: -8 + 2a = 2(a + 1) + 11a + 2 Reorder the terms: -8 + 2a = 2(1 + a) + 11a + 2 -8 + 2a = (1 * 2 + a * 2) + 11a + 2 -8 + 2a = (2 + 2a) + 11a + 2 Reorder the terms: -8 + 2a = 2 + 2 + 2a + 11a Combine like terms: 2 + 2 = 4 -8 + 2a = 4 + 2a + 11a Combine like terms: 2a + 11a = 13a -8 + 2a = 4 + 13a Solving -8 + 2a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -8 + 2a + -13a = 4 + 13a + -13a Combine like terms: 2a + -13a = -11a -8 + -11a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -8 + -11a = 4 + 0 -8 + -11a = 4 Add '8' to each side of the equation. -8 + 8 + -11a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -11a = 4 + 8 -11a = 4 + 8 Combine like terms: 4 + 8 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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