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Simplifying 85 = 5 + 5(a + 8) Reorder the terms: 85 = 5 + 5(8 + a) 85 = 5 + (8 * 5 + a * 5) 85 = 5 + (40 + 5a) Combine like terms: 5 + 40 = 45 85 = 45 + 5a Solving 85 = 45 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 85 + -5a = 45 + 5a + -5a Combine like terms: 5a + -5a = 0 85 + -5a = 45 + 0 85 + -5a = 45 Add '-85' to each side of the equation. 85 + -85 + -5a = 45 + -85 Combine like terms: 85 + -85 = 0 0 + -5a = 45 + -85 -5a = 45 + -85 Combine like terms: 45 + -85 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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