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Simplifying 6a + 42 = 3a + -12 Reorder the terms: 42 + 6a = 3a + -12 Reorder the terms: 42 + 6a = -12 + 3a Solving 42 + 6a = -12 + 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. 42 + 6a + -3a = -12 + 3a + -3a Combine like terms: 6a + -3a = 3a 42 + 3a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 42 + 3a = -12 + 0 42 + 3a = -12 Add '-42' to each side of the equation. 42 + -42 + 3a = -12 + -42 Combine like terms: 42 + -42 = 0 0 + 3a = -12 + -42 3a = -12 + -42 Combine like terms: -12 + -42 = -54 3a = -54 Divide each side by '3'. a = -18 Simplifying a = -18
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