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Simplifying 5(3a + -4) = 7(6a + 3) + -11 Reorder the terms: 5(-4 + 3a) = 7(6a + 3) + -11 (-4 * 5 + 3a * 5) = 7(6a + 3) + -11 (-20 + 15a) = 7(6a + 3) + -11 Reorder the terms: -20 + 15a = 7(3 + 6a) + -11 -20 + 15a = (3 * 7 + 6a * 7) + -11 -20 + 15a = (21 + 42a) + -11 Reorder the terms: -20 + 15a = 21 + -11 + 42a Combine like terms: 21 + -11 = 10 -20 + 15a = 10 + 42a Solving -20 + 15a = 10 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -20 + 15a + -42a = 10 + 42a + -42a Combine like terms: 15a + -42a = -27a -20 + -27a = 10 + 42a + -42a Combine like terms: 42a + -42a = 0 -20 + -27a = 10 + 0 -20 + -27a = 10 Add '20' to each side of the equation. -20 + 20 + -27a = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -27a = 10 + 20 -27a = 10 + 20 Combine like terms: 10 + 20 = 30 -27a = 30 Divide each side by '-27'. a = -1.111111111 Simplifying a = -1.111111111
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