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Simplifying 42 = 8a + 13a Combine like terms: 8a + 13a = 21a 42 = 21a Solving 42 = 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 42 + -21a = 21a + -21a Combine like terms: 21a + -21a = 0 42 + -21a = 0 Add '-42' to each side of the equation. 42 + -42 + -21a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21a = 0 + -42 -21a = 0 + -42 Combine like terms: 0 + -42 = -42 -21a = -42 Divide each side by '-21'. a = 2 Simplifying a = 2
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