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Simplifying 11(a + -1) + -13(a + -2) = -2(2a + 1) + -3 Reorder the terms: 11(-1 + a) + -13(a + -2) = -2(2a + 1) + -3 (-1 * 11 + a * 11) + -13(a + -2) = -2(2a + 1) + -3 (-11 + 11a) + -13(a + -2) = -2(2a + 1) + -3 Reorder the terms: -11 + 11a + -13(-2 + a) = -2(2a + 1) + -3 -11 + 11a + (-2 * -13 + a * -13) = -2(2a + 1) + -3 -11 + 11a + (26 + -13a) = -2(2a + 1) + -3 Reorder the terms: -11 + 26 + 11a + -13a = -2(2a + 1) + -3 Combine like terms: -11 + 26 = 15 15 + 11a + -13a = -2(2a + 1) + -3 Combine like terms: 11a + -13a = -2a 15 + -2a = -2(2a + 1) + -3 Reorder the terms: 15 + -2a = -2(1 + 2a) + -3 15 + -2a = (1 * -2 + 2a * -2) + -3 15 + -2a = (-2 + -4a) + -3 Reorder the terms: 15 + -2a = -2 + -3 + -4a Combine like terms: -2 + -3 = -5 15 + -2a = -5 + -4a Solving 15 + -2a = -5 + -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. 15 + -2a + 4a = -5 + -4a + 4a Combine like terms: -2a + 4a = 2a 15 + 2a = -5 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 2a = -5 + 0 15 + 2a = -5 Add '-15' to each side of the equation. 15 + -15 + 2a = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = -5 + -15 2a = -5 + -15 Combine like terms: -5 + -15 = -20 2a = -20 Divide each side by '2'. a = -10 Simplifying a = -10
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