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Simplifying 85 = 5(1 + 2a) 85 = (1 * 5 + 2a * 5) 85 = (5 + 10a) Solving 85 = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 85 + -10a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 85 + -10a = 5 + 0 85 + -10a = 5 Add '-85' to each side of the equation. 85 + -85 + -10a = 5 + -85 Combine like terms: 85 + -85 = 0 0 + -10a = 5 + -85 -10a = 5 + -85 Combine like terms: 5 + -85 = -80 -10a = -80 Divide each side by '-10'. a = 8 Simplifying a = 8
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