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Simplifying 9a + -42 = 3a + 18 Reorder the terms: -42 + 9a = 3a + 18 Reorder the terms: -42 + 9a = 18 + 3a Solving -42 + 9a = 18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -42 + 9a + -3a = 18 + 3a + -3a Combine like terms: 9a + -3a = 6a -42 + 6a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 -42 + 6a = 18 + 0 -42 + 6a = 18 Add '42' to each side of the equation. -42 + 42 + 6a = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 6a = 18 + 42 6a = 18 + 42 Combine like terms: 18 + 42 = 60 6a = 60 Divide each side by '6'. a = 10 Simplifying a = 10
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