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Simplifying 42 + -14a = 15a + 5 Reorder the terms: 42 + -14a = 5 + 15a Solving 42 + -14a = 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 + -14a + -15a = 5 + 15a + -15a Combine like terms: -14a + -15a = -29a 42 + -29a = 5 + 15a + -15a Combine like terms: 15a + -15a = 0 42 + -29a = 5 + 0 42 + -29a = 5 Add '-42' to each side of the equation. 42 + -42 + -29a = 5 + -42 Combine like terms: 42 + -42 = 0 0 + -29a = 5 + -42 -29a = 5 + -42 Combine like terms: 5 + -42 = -37 -29a = -37 Divide each side by '-29'. a = 1.275862069 Simplifying a = 1.275862069
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