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Simplifying a + -12 = 3a + 6 Reorder the terms: -12 + a = 3a + 6 Reorder the terms: -12 + a = 6 + 3a Solving -12 + a = 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. -12 + a + -3a = 6 + 3a + -3a Combine like terms: a + -3a = -2a -12 + -2a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -2a = 6 + 0 -12 + -2a = 6 Add '12' to each side of the equation. -12 + 12 + -2a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 6 + 12 -2a = 6 + 12 Combine like terms: 6 + 12 = 18 -2a = 18 Divide each side by '-2'. a = -9 Simplifying a = -9
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