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Simplifying 5(1 + -2a) = -20 + -5a (1 * 5 + -2a * 5) = -20 + -5a (5 + -10a) = -20 + -5a Solving 5 + -10a = -20 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 5 + -10a + 5a = -20 + -5a + 5a Combine like terms: -10a + 5a = -5a 5 + -5a = -20 + -5a + 5a Combine like terms: -5a + 5a = 0 5 + -5a = -20 + 0 5 + -5a = -20 Add '-5' to each side of the equation. 5 + -5 + -5a = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -20 + -5 -5a = -20 + -5 Combine like terms: -20 + -5 = -25 -5a = -25 Divide each side by '-5'. a = 5 Simplifying a = 5
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