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Simplifying 216 = 8(5a + 71) Reorder the terms: 216 = 8(71 + 5a) 216 = (71 * 8 + 5a * 8) 216 = (568 + 40a) Solving 216 = 568 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 216 + -40a = 568 + 40a + -40a Combine like terms: 40a + -40a = 0 216 + -40a = 568 + 0 216 + -40a = 568 Add '-216' to each side of the equation. 216 + -216 + -40a = 568 + -216 Combine like terms: 216 + -216 = 0 0 + -40a = 568 + -216 -40a = 568 + -216 Combine like terms: 568 + -216 = 352 -40a = 352 Divide each side by '-40'. a = -8.8 Simplifying a = -8.8
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