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Simplifying 3(3a + -6) = 4(2a + 7) Reorder the terms: 3(-6 + 3a) = 4(2a + 7) (-6 * 3 + 3a * 3) = 4(2a + 7) (-18 + 9a) = 4(2a + 7) Reorder the terms: -18 + 9a = 4(7 + 2a) -18 + 9a = (7 * 4 + 2a * 4) -18 + 9a = (28 + 8a) Solving -18 + 9a = 28 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -18 + 9a + -8a = 28 + 8a + -8a Combine like terms: 9a + -8a = 1a -18 + 1a = 28 + 8a + -8a Combine like terms: 8a + -8a = 0 -18 + 1a = 28 + 0 -18 + 1a = 28 Add '18' to each side of the equation. -18 + 18 + 1a = 28 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = 28 + 18 1a = 28 + 18 Combine like terms: 28 + 18 = 46 1a = 46 Divide each side by '1'. a = 46 Simplifying a = 46
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