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Simplifying 158 = 2(8k + 7) Reorder the terms: 158 = 2(7 + 8k) 158 = (7 * 2 + 8k * 2) 158 = (14 + 16k) Solving 158 = 14 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 158 + -16k = 14 + 16k + -16k Combine like terms: 16k + -16k = 0 158 + -16k = 14 + 0 158 + -16k = 14 Add '-158' to each side of the equation. 158 + -158 + -16k = 14 + -158 Combine like terms: 158 + -158 = 0 0 + -16k = 14 + -158 -16k = 14 + -158 Combine like terms: 14 + -158 = -144 -16k = -144 Divide each side by '-16'. k = 9 Simplifying k = 9
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