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Simplifying 20 + -1(8 + a) + -1(a + -1) = 29 20 + (8 * -1 + a * -1) + -1(a + -1) = 29 20 + (-8 + -1a) + -1(a + -1) = 29 Reorder the terms: 20 + -8 + -1a + -1(-1 + a) = 29 20 + -8 + -1a + (-1 * -1 + a * -1) = 29 20 + -8 + -1a + (1 + -1a) = 29 Reorder the terms: 20 + -8 + 1 + -1a + -1a = 29 Combine like terms: 20 + -8 = 12 12 + 1 + -1a + -1a = 29 Combine like terms: 12 + 1 = 13 13 + -1a + -1a = 29 Combine like terms: -1a + -1a = -2a 13 + -2a = 29 Solving 13 + -2a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2a = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -2a = 29 + -13 -2a = 29 + -13 Combine like terms: 29 + -13 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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