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Simplifying 4a + 12 = 6a + -6 Reorder the terms: 12 + 4a = 6a + -6 Reorder the terms: 12 + 4a = -6 + 6a Solving 12 + 4a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 4a + -6a = -6 + 6a + -6a Combine like terms: 4a + -6a = -2a 12 + -2a = -6 + 6a + -6a Combine like terms: 6a + -6a = 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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