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Simplifying 42 + -12a = -15a + 5 Reorder the terms: 42 + -12a = 5 + -15a Solving 42 + -12a = 5 + -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 + -12a + 15a = 5 + -15a + 15a Combine like terms: -12a + 15a = 3a 42 + 3a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 42 + 3a = 5 + 0 42 + 3a = 5 Add '-42' to each side of the equation. 42 + -42 + 3a = 5 + -42 Combine like terms: 42 + -42 = 0 0 + 3a = 5 + -42 3a = 5 + -42 Combine like terms: 5 + -42 = -37 3a = -37 Divide each side by '3'. a = -12.33333333 Simplifying a = -12.33333333
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