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Simplifying 3(a + -6) = 8a + 12 Reorder the terms: 3(-6 + a) = 8a + 12 (-6 * 3 + a * 3) = 8a + 12 (-18 + 3a) = 8a + 12 Reorder the terms: -18 + 3a = 12 + 8a Solving -18 + 3a = 12 + 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 + 3a + -8a = 12 + 8a + -8a Combine like terms: 3a + -8a = -5a -18 + -5a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -18 + -5a = 12 + 0 -18 + -5a = 12 Add '18' to each side of the equation. -18 + 18 + -5a = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5a = 12 + 18 -5a = 12 + 18 Combine like terms: 12 + 18 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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