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Simplifying 4(20 + -4a) = 6 + -1a (20 * 4 + -4a * 4) = 6 + -1a (80 + -16a) = 6 + -1a Solving 80 + -16a = 6 + -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. 80 + -16a + a = 6 + -1a + a Combine like terms: -16a + a = -15a 80 + -15a = 6 + -1a + a Combine like terms: -1a + a = 0 80 + -15a = 6 + 0 80 + -15a = 6 Add '-80' to each side of the equation. 80 + -80 + -15a = 6 + -80 Combine like terms: 80 + -80 = 0 0 + -15a = 6 + -80 -15a = 6 + -80 Combine like terms: 6 + -80 = -74 -15a = -74 Divide each side by '-15'. a = 4.933333333 Simplifying a = 4.933333333
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