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Simplifying 6a + -42 = 2a + a Reorder the terms: -42 + 6a = 2a + a Combine like terms: 2a + a = 3a -42 + 6a = 3a Solving -42 + 6a = 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 + 6a + -3a = 3a + -3a Combine like terms: 6a + -3a = 3a -42 + 3a = 3a + -3a Combine like terms: 3a + -3a = 0 -42 + 3a = 0 Add '42' to each side of the equation. -42 + 42 + 3a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 3a = 0 + 42 3a = 0 + 42 Combine like terms: 0 + 42 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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