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Simplifying 5a + -42 = 3a + -8 Reorder the terms: -42 + 5a = 3a + -8 Reorder the terms: -42 + 5a = -8 + 3a Solving -42 + 5a = -8 + 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 + 5a + -3a = -8 + 3a + -3a Combine like terms: 5a + -3a = 2a -42 + 2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 -42 + 2a = -8 + 0 -42 + 2a = -8 Add '42' to each side of the equation. -42 + 42 + 2a = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 2a = -8 + 42 2a = -8 + 42 Combine like terms: -8 + 42 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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