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Simplifying -88 = -6(8k + -2) + -2k Reorder the terms: -88 = -6(-2 + 8k) + -2k -88 = (-2 * -6 + 8k * -6) + -2k -88 = (12 + -48k) + -2k Combine like terms: -48k + -2k = -50k -88 = 12 + -50k Solving -88 = 12 + -50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. -88 + 50k = 12 + -50k + 50k Combine like terms: -50k + 50k = 0 -88 + 50k = 12 + 0 -88 + 50k = 12 Add '88' to each side of the equation. -88 + 88 + 50k = 12 + 88 Combine like terms: -88 + 88 = 0 0 + 50k = 12 + 88 50k = 12 + 88 Combine like terms: 12 + 88 = 100 50k = 100 Divide each side by '50'. k = 2 Simplifying k = 2
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