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Simplifying 42 = 14 + -1a + -4 Reorder the terms: 42 = 14 + -4 + -1a Combine like terms: 14 + -4 = 10 42 = 10 + -1a Solving 42 = 10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 42 + a = 10 + -1a + a Combine like terms: -1a + a = 0 42 + a = 10 + 0 42 + a = 10 Add '-42' to each side of the equation. 42 + -42 + a = 10 + -42 Combine like terms: 42 + -42 = 0 0 + a = 10 + -42 a = 10 + -42 Combine like terms: 10 + -42 = -32 a = -32 Simplifying a = -32
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