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Simplifying a + 42 = 15a Reorder the terms: 42 + a = 15a Solving 42 + a = 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 + a + -15a = 15a + -15a Combine like terms: a + -15a = -14a 42 + -14a = 15a + -15a Combine like terms: 15a + -15a = 0 42 + -14a = 0 Add '-42' to each side of the equation. 42 + -42 + -14a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -14a = 0 + -42 -14a = 0 + -42 Combine like terms: 0 + -42 = -42 -14a = -42 Divide each side by '-14'. a = 3 Simplifying a = 3
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