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Simplifying 20 + -1a = 2a + -1(6a + 1) Reorder the terms: 20 + -1a = 2a + -1(1 + 6a) 20 + -1a = 2a + (1 * -1 + 6a * -1) 20 + -1a = 2a + (-1 + -6a) Reorder the terms: 20 + -1a = -1 + 2a + -6a Combine like terms: 2a + -6a = -4a 20 + -1a = -1 + -4a Solving 20 + -1a = -1 + -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. 20 + -1a + 4a = -1 + -4a + 4a Combine like terms: -1a + 4a = 3a 20 + 3a = -1 + -4a + 4a Combine like terms: -4a + 4a = 0 20 + 3a = -1 + 0 20 + 3a = -1 Add '-20' to each side of the equation. 20 + -20 + 3a = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 3a = -1 + -20 3a = -1 + -20 Combine like terms: -1 + -20 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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