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Simplifying 182 = -7(-4k + 2) Reorder the terms: 182 = -7(2 + -4k) 182 = (2 * -7 + -4k * -7) 182 = (-14 + 28k) Solving 182 = -14 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 182 + -28k = -14 + 28k + -28k Combine like terms: 28k + -28k = 0 182 + -28k = -14 + 0 182 + -28k = -14 Add '-182' to each side of the equation. 182 + -182 + -28k = -14 + -182 Combine like terms: 182 + -182 = 0 0 + -28k = -14 + -182 -28k = -14 + -182 Combine like terms: -14 + -182 = -196 -28k = -196 Divide each side by '-28'. k = 7 Simplifying k = 7
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