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Simplifying 4a + -12 = 6 + a Reorder the terms: -12 + 4a = 6 + a Solving -12 + 4a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 4a + -1a = 6 + a + -1a Combine like terms: 4a + -1a = 3a -12 + 3a = 6 + a + -1a Combine like terms: a + -1a = 0 -12 + 3a = 6 + 0 -12 + 3a = 6 Add '12' to each side of the equation. -12 + 12 + 3a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 6 + 12 3a = 6 + 12 Combine like terms: 6 + 12 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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