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Simplifying 7(a + 5) = 4a Reorder the terms: 7(5 + a) = 4a (5 * 7 + a * 7) = 4a (35 + 7a) = 4a Solving 35 + 7a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 35 + 7a + -4a = 4a + -4a Combine like terms: 7a + -4a = 3a 35 + 3a = 4a + -4a Combine like terms: 4a + -4a = 0 35 + 3a = 0 Add '-35' to each side of the equation. 35 + -35 + 3a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3a = 0 + -35 3a = 0 + -35 Combine like terms: 0 + -35 = -35 3a = -35 Divide each side by '3'. a = -11.66666667 Simplifying a = -11.66666667
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