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Simplifying 42 + -1a = -2a + 99 Reorder the terms: 42 + -1a = 99 + -2a Solving 42 + -1a = 99 + -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 + -1a + 2a = 99 + -2a + 2a Combine like terms: -1a + 2a = 1a 42 + 1a = 99 + -2a + 2a Combine like terms: -2a + 2a = 0 42 + 1a = 99 + 0 42 + 1a = 99 Add '-42' to each side of the equation. 42 + -42 + 1a = 99 + -42 Combine like terms: 42 + -42 = 0 0 + 1a = 99 + -42 1a = 99 + -42 Combine like terms: 99 + -42 = 57 1a = 57 Divide each side by '1'. a = 57 Simplifying a = 57
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