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Simplifying -1a + 5(4 + -1a) = -2(1 + 2a) -1a + (4 * 5 + -1a * 5) = -2(1 + 2a) -1a + (20 + -5a) = -2(1 + 2a) Reorder the terms: 20 + -1a + -5a = -2(1 + 2a) Combine like terms: -1a + -5a = -6a 20 + -6a = -2(1 + 2a) 20 + -6a = (1 * -2 + 2a * -2) 20 + -6a = (-2 + -4a) Solving 20 + -6a = -2 + -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 + -6a + 4a = -2 + -4a + 4a Combine like terms: -6a + 4a = -2a 20 + -2a = -2 + -4a + 4a Combine like terms: -4a + 4a = 0 20 + -2a = -2 + 0 20 + -2a = -2 Add '-20' to each side of the equation. 20 + -20 + -2a = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -2a = -2 + -20 -2a = -2 + -20 Combine like terms: -2 + -20 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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