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Simplifying 4(5 + 7a) = 1 + 7a (5 * 4 + 7a * 4) = 1 + 7a (20 + 28a) = 1 + 7a Solving 20 + 28a = 1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 20 + 28a + -7a = 1 + 7a + -7a Combine like terms: 28a + -7a = 21a 20 + 21a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 20 + 21a = 1 + 0 20 + 21a = 1 Add '-20' to each side of the equation. 20 + -20 + 21a = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 21a = 1 + -20 21a = 1 + -20 Combine like terms: 1 + -20 = -19 21a = -19 Divide each side by '21'. a = -0.9047619048 Simplifying a = -0.9047619048
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