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Simplifying 3a + -6 = 5a + 12 Reorder the terms: -6 + 3a = 5a + 12 Reorder the terms: -6 + 3a = 12 + 5a Solving -6 + 3a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + 3a + -5a = 12 + 5a + -5a Combine like terms: 3a + -5a = -2a -6 + -2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -2a = 12 + 0 -6 + -2a = 12 Add '6' to each side of the equation. -6 + 6 + -2a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2a = 12 + 6 -2a = 12 + 6 Combine like terms: 12 + 6 = 18 -2a = 18 Divide each side by '-2'. a = -9 Simplifying a = -9
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