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Simplifying 3a + -42 = (a + 4) Reorder the terms: -42 + 3a = (a + 4) Reorder the terms: -42 + 3a = (4 + a) Remove parenthesis around (4 + a) -42 + 3a = 4 + a Solving -42 + 3a = 4 + 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 + 3a + -1a = 4 + a + -1a Combine like terms: 3a + -1a = 2a -42 + 2a = 4 + a + -1a Combine like terms: a + -1a = 0 -42 + 2a = 4 + 0 -42 + 2a = 4 Add '42' to each side of the equation. -42 + 42 + 2a = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 2a = 4 + 42 2a = 4 + 42 Combine like terms: 4 + 42 = 46 2a = 46 Divide each side by '2'. a = 23 Simplifying a = 23
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