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Simplifying 31 = 13 + a(4) Reorder the terms for easier multiplication: 31 = 13 + 4a Solving 31 = 13 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 31 + -4a = 13 + 4a + -4a Combine like terms: 4a + -4a = 0 31 + -4a = 13 + 0 31 + -4a = 13 Add '-31' to each side of the equation. 31 + -31 + -4a = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -4a = 13 + -31 -4a = 13 + -31 Combine like terms: 13 + -31 = -18 -4a = -18 Divide each side by '-4'. a = 4.5 Simplifying a = 4.5
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