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Simplifying 20 = 14 + -2(5a + w) 20 = 14 + (5a * -2 + w * -2) 20 = 14 + (-10a + -2w) Solving 20 = 14 + -10a + -2w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 20 + 10a = 14 + -10a + 10a + -2w Combine like terms: -10a + 10a = 0 20 + 10a = 14 + 0 + -2w 20 + 10a = 14 + -2w Add '-20' to each side of the equation. 20 + -20 + 10a = 14 + -20 + -2w Combine like terms: 20 + -20 = 0 0 + 10a = 14 + -20 + -2w 10a = 14 + -20 + -2w Combine like terms: 14 + -20 = -6 10a = -6 + -2w Divide each side by '10'. a = -0.6 + -0.2w Simplifying a = -0.6 + -0.2w
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