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Simplifying 42 = 8 + -2a Solving 42 = 8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 42 + 2a = 8 + -2a + 2a Combine like terms: -2a + 2a = 0 42 + 2a = 8 + 0 42 + 2a = 8 Add '-42' to each side of the equation. 42 + -42 + 2a = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 2a = 8 + -42 2a = 8 + -42 Combine like terms: 8 + -42 = -34 2a = -34 Divide each side by '2'. a = -17 Simplifying a = -17
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