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Simplifying 7 + -5(1 + -4a) = 2 + -1a 7 + (1 * -5 + -4a * -5) = 2 + -1a 7 + (-5 + 20a) = 2 + -1a Combine like terms: 7 + -5 = 2 2 + 20a = 2 + -1a Add '-2' to each side of the equation. 2 + -2 + 20a = 2 + -2 + -1a Combine like terms: 2 + -2 = 0 0 + 20a = 2 + -2 + -1a 20a = 2 + -2 + -1a Combine like terms: 2 + -2 = 0 20a = 0 + -1a 20a = -1a Solving 20a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 20a + a = -1a + a Combine like terms: 20a + a = 21a 21a = -1a + a Combine like terms: -1a + a = 0 21a = 0 Divide each side by '21'. a = 0 Simplifying a = 0
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