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Simplifying 2a + -11 = 2(a + 1) + 13a + 3 Reorder the terms: -11 + 2a = 2(a + 1) + 13a + 3 Reorder the terms: -11 + 2a = 2(1 + a) + 13a + 3 -11 + 2a = (1 * 2 + a * 2) + 13a + 3 -11 + 2a = (2 + 2a) + 13a + 3 Reorder the terms: -11 + 2a = 2 + 3 + 2a + 13a Combine like terms: 2 + 3 = 5 -11 + 2a = 5 + 2a + 13a Combine like terms: 2a + 13a = 15a -11 + 2a = 5 + 15a Solving -11 + 2a = 5 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -11 + 2a + -15a = 5 + 15a + -15a Combine like terms: 2a + -15a = -13a -11 + -13a = 5 + 15a + -15a Combine like terms: 15a + -15a = 0 -11 + -13a = 5 + 0 -11 + -13a = 5 Add '11' to each side of the equation. -11 + 11 + -13a = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -13a = 5 + 11 -13a = 5 + 11 Combine like terms: 5 + 11 = 16 -13a = 16 Divide each side by '-13'. a = -1.230769231 Simplifying a = -1.230769231
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