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Simplifying 7a + 2 = 42 + -3a Reorder the terms: 2 + 7a = 42 + -3a Solving 2 + 7a = 42 + -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. 2 + 7a + 3a = 42 + -3a + 3a Combine like terms: 7a + 3a = 10a 2 + 10a = 42 + -3a + 3a Combine like terms: -3a + 3a = 0 2 + 10a = 42 + 0 2 + 10a = 42 Add '-2' to each side of the equation. 2 + -2 + 10a = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 10a = 42 + -2 10a = 42 + -2 Combine like terms: 42 + -2 = 40 10a = 40 Divide each side by '10'. a = 4 Simplifying a = 4
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