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Simplifying 6a + -12 = 3(a + 5) Reorder the terms: -12 + 6a = 3(a + 5) Reorder the terms: -12 + 6a = 3(5 + a) -12 + 6a = (5 * 3 + a * 3) -12 + 6a = (15 + 3a) Solving -12 + 6a = 15 + 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. -12 + 6a + -3a = 15 + 3a + -3a Combine like terms: 6a + -3a = 3a -12 + 3a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 3a = 15 + 0 -12 + 3a = 15 Add '12' to each side of the equation. -12 + 12 + 3a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 15 + 12 3a = 15 + 12 Combine like terms: 15 + 12 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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