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Simplifying 42 + -14a = -15a + 15 Reorder the terms: 42 + -14a = 15 + -15a Solving 42 + -14a = 15 + -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 = 15 + -15a + 15a Combine like terms: -14a + 15a = 1a 42 + 1a = 15 + -15a + 15a Combine like terms: -15a + 15a = 0 42 + 1a = 15 + 0 42 + 1a = 15 Add '-42' to each side of the equation. 42 + -42 + 1a = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 1a = 15 + -42 1a = 15 + -42 Combine like terms: 15 + -42 = -27 1a = -27 Divide each side by '1'. a = -27 Simplifying a = -27
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