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Simplifying 5(3a + -3) + 6 = 3(2 + -1a) Reorder the terms: 5(-3 + 3a) + 6 = 3(2 + -1a) (-3 * 5 + 3a * 5) + 6 = 3(2 + -1a) (-15 + 15a) + 6 = 3(2 + -1a) Reorder the terms: -15 + 6 + 15a = 3(2 + -1a) Combine like terms: -15 + 6 = -9 -9 + 15a = 3(2 + -1a) -9 + 15a = (2 * 3 + -1a * 3) -9 + 15a = (6 + -3a) Solving -9 + 15a = 6 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -9 + 15a + 3a = 6 + -3a + 3a Combine like terms: 15a + 3a = 18a -9 + 18a = 6 + -3a + 3a Combine like terms: -3a + 3a = 0 -9 + 18a = 6 + 0 -9 + 18a = 6 Add '9' to each side of the equation. -9 + 9 + 18a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18a = 6 + 9 18a = 6 + 9 Combine like terms: 6 + 9 = 15 18a = 15 Divide each side by '18'. a = 0.8333333333 Simplifying a = 0.8333333333
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