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Simplifying 42 + -14a = -15a + 6 Reorder the terms: 42 + -14a = 6 + -15a Solving 42 + -14a = 6 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 42 + -14a + 15a = 6 + -15a + 15a Combine like terms: -14a + 15a = 1a 42 + 1a = 6 + -15a + 15a Combine like terms: -15a + 15a = 0 42 + 1a = 6 + 0 42 + 1a = 6 Add '-42' to each side of the equation. 42 + -42 + 1a = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 1a = 6 + -42 1a = 6 + -42 Combine like terms: 6 + -42 = -36 1a = -36 Divide each side by '1'. a = -36 Simplifying a = -36
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