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Simplifying 5(3a + -4) = 6(6 + 2a) Reorder the terms: 5(-4 + 3a) = 6(6 + 2a) (-4 * 5 + 3a * 5) = 6(6 + 2a) (-20 + 15a) = 6(6 + 2a) -20 + 15a = (6 * 6 + 2a * 6) -20 + 15a = (36 + 12a) Solving -20 + 15a = 36 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -20 + 15a + -12a = 36 + 12a + -12a Combine like terms: 15a + -12a = 3a -20 + 3a = 36 + 12a + -12a Combine like terms: 12a + -12a = 0 -20 + 3a = 36 + 0 -20 + 3a = 36 Add '20' to each side of the equation. -20 + 20 + 3a = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 3a = 36 + 20 3a = 36 + 20 Combine like terms: 36 + 20 = 56 3a = 56 Divide each side by '3'. a = 18.66666667 Simplifying a = 18.66666667
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