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Simplifying 84 = 42 + a Solving 84 = 42 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 84 + -1a = 42 + a + -1a Combine like terms: a + -1a = 0 84 + -1a = 42 + 0 84 + -1a = 42 Add '-84' to each side of the equation. 84 + -84 + -1a = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -1a = 42 + -84 -1a = 42 + -84 Combine like terms: 42 + -84 = -42 -1a = -42 Divide each side by '-1'. a = 42 Simplifying a = 42
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