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Simplifying 182 = 8(8 + 2a) + 6 182 = (8 * 8 + 2a * 8) + 6 182 = (64 + 16a) + 6 Reorder the terms: 182 = 64 + 6 + 16a Combine like terms: 64 + 6 = 70 182 = 70 + 16a Solving 182 = 70 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 182 + -16a = 70 + 16a + -16a Combine like terms: 16a + -16a = 0 182 + -16a = 70 + 0 182 + -16a = 70 Add '-182' to each side of the equation. 182 + -182 + -16a = 70 + -182 Combine like terms: 182 + -182 = 0 0 + -16a = 70 + -182 -16a = 70 + -182 Combine like terms: 70 + -182 = -112 -16a = -112 Divide each side by '-16'. a = 7 Simplifying a = 7
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