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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 = 13a 20 + 13a = 21 + -28a + 28a Combine like terms: -28a + 28a = 0 20 + 13a = 21 + 0 20 + 13a = 21 Add '-20' to each side of the equation. 20 + -20 + 13a = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 13a = 21 + -20 13a = 21 + -20 Combine like terms: 21 + -20 = 1 13a = 1 Divide each side by '13'. a = 0.07692307692 Simplifying a = 0.07692307692
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