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Simplifying 3(2a + -1) = 3(a + 3) Reorder the terms: 3(-1 + 2a) = 3(a + 3) (-1 * 3 + 2a * 3) = 3(a + 3) (-3 + 6a) = 3(a + 3) Reorder the terms: -3 + 6a = 3(3 + a) -3 + 6a = (3 * 3 + a * 3) -3 + 6a = (9 + 3a) Solving -3 + 6a = 9 + 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. -3 + 6a + -3a = 9 + 3a + -3a Combine like terms: 6a + -3a = 3a -3 + 3a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 -3 + 3a = 9 + 0 -3 + 3a = 9 Add '3' to each side of the equation. -3 + 3 + 3a = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 9 + 3 3a = 9 + 3 Combine like terms: 9 + 3 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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