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Simplifying 42 + 7a = (6 + a) Remove parenthesis around (6 + a) 42 + 7a = 6 + a Solving 42 + 7a = 6 + 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 + 7a + -1a = 6 + a + -1a Combine like terms: 7a + -1a = 6a 42 + 6a = 6 + a + -1a Combine like terms: a + -1a = 0 42 + 6a = 6 + 0 42 + 6a = 6 Add '-42' to each side of the equation. 42 + -42 + 6a = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 6a = 6 + -42 6a = 6 + -42 Combine like terms: 6 + -42 = -36 6a = -36 Divide each side by '6'. a = -6 Simplifying a = -6
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