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Simplifying 7(5 + -4a) = 3 + 2a (5 * 7 + -4a * 7) = 3 + 2a (35 + -28a) = 3 + 2a Solving 35 + -28a = 3 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 35 + -28a + -2a = 3 + 2a + -2a Combine like terms: -28a + -2a = -30a 35 + -30a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 35 + -30a = 3 + 0 35 + -30a = 3 Add '-35' to each side of the equation. 35 + -35 + -30a = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -30a = 3 + -35 -30a = 3 + -35 Combine like terms: 3 + -35 = -32 -30a = -32 Divide each side by '-30'. a = 1.066666667 Simplifying a = 1.066666667
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