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Simplifying a + 12 = 3a + 32 Reorder the terms: 12 + a = 3a + 32 Reorder the terms: 12 + a = 32 + 3a Solving 12 + a = 32 + 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 = 32 + 3a + -3a Combine like terms: a + -3a = -2a 12 + -2a = 32 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -2a = 32 + 0 12 + -2a = 32 Add '-12' to each side of the equation. 12 + -12 + -2a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 32 + -12 -2a = 32 + -12 Combine like terms: 32 + -12 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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