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Simplifying a + -42 + a = a + 45 Reorder the terms: -42 + a + a = a + 45 Combine like terms: a + a = 2a -42 + 2a = a + 45 Reorder the terms: -42 + 2a = 45 + a Solving -42 + 2a = 45 + 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. -42 + 2a + -1a = 45 + a + -1a Combine like terms: 2a + -1a = 1a -42 + 1a = 45 + a + -1a Combine like terms: a + -1a = 0 -42 + 1a = 45 + 0 -42 + 1a = 45 Add '42' to each side of the equation. -42 + 42 + 1a = 45 + 42 Combine like terms: -42 + 42 = 0 0 + 1a = 45 + 42 1a = 45 + 42 Combine like terms: 45 + 42 = 87 1a = 87 Divide each side by '1'. a = 87 Simplifying a = 87
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