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Simplifying -102 = -6(k + 2) Reorder the terms: -102 = -6(2 + k) -102 = (2 * -6 + k * -6) -102 = (-12 + -6k) Solving -102 = -12 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -102 + 6k = -12 + -6k + 6k Combine like terms: -6k + 6k = 0 -102 + 6k = -12 + 0 -102 + 6k = -12 Add '102' to each side of the equation. -102 + 102 + 6k = -12 + 102 Combine like terms: -102 + 102 = 0 0 + 6k = -12 + 102 6k = -12 + 102 Combine like terms: -12 + 102 = 90 6k = 90 Divide each side by '6'. k = 15 Simplifying k = 15
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