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Simplifying 5(4 + 3a) = 7(3 + -4a) (4 * 5 + 3a * 5) = 7(3 + -4a) (20 + 15a) = 7(3 + -4a) 20 + 15a = (3 * 7 + -4a * 7) 20 + 15a = (21 + -28a) Solving 20 + 15a = 21 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 20 + 15a + 28a = 21 + -28a + 28a Combine like terms: 15a + 28a = 43a 20 + 43a = 21 + -28a + 28a Combine like terms: -28a + 28a = 0 20 + 43a = 21 + 0 20 + 43a = 21 Add '-20' to each side of the equation. 20 + -20 + 43a = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 43a = 21 + -20 43a = 21 + -20 Combine like terms: 21 + -20 = 1 43a = 1 Divide each side by '43'. a = 0.02325581395 Simplifying a = 0.02325581395
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