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Simplifying 4(4a + -2b + 5) + 2(2a + -5) = e Reorder the terms: 4(5 + 4a + -2b) + 2(2a + -5) = e (5 * 4 + 4a * 4 + -2b * 4) + 2(2a + -5) = e (20 + 16a + -8b) + 2(2a + -5) = e Reorder the terms: 20 + 16a + -8b + 2(-5 + 2a) = e 20 + 16a + -8b + (-5 * 2 + 2a * 2) = e 20 + 16a + -8b + (-10 + 4a) = e Reorder the terms: 20 + -10 + 16a + 4a + -8b = e Combine like terms: 20 + -10 = 10 10 + 16a + 4a + -8b = e Combine like terms: 16a + 4a = 20a 10 + 20a + -8b = e Solving 10 + 20a + -8b = e Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 20a + -10 + -8b = -10 + e Reorder the terms: 10 + -10 + 20a + -8b = -10 + e Combine like terms: 10 + -10 = 0 0 + 20a + -8b = -10 + e 20a + -8b = -10 + e Add '8b' to each side of the equation. 20a + -8b + 8b = -10 + 8b + e Combine like terms: -8b + 8b = 0 20a + 0 = -10 + 8b + e 20a = -10 + 8b + e Divide each side by '20'. a = -0.5 + 0.4b + 0.05e Simplifying a = -0.5 + 0.4b + 0.05e
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