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Simplifying -42 = 8a + -2a + 12 Reorder the terms: -42 = 12 + 8a + -2a Combine like terms: 8a + -2a = 6a -42 = 12 + 6a Solving -42 = 12 + 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. -42 + -6a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -42 + -6a = 12 + 0 -42 + -6a = 12 Add '42' to each side of the equation. -42 + 42 + -6a = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -6a = 12 + 42 -6a = 12 + 42 Combine like terms: 12 + 42 = 54 -6a = 54 Divide each side by '-6'. a = -9 Simplifying a = -9
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