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Simplifying -88 = 3(3k + -6) + 2 Reorder the terms: -88 = 3(-6 + 3k) + 2 -88 = (-6 * 3 + 3k * 3) + 2 -88 = (-18 + 9k) + 2 Reorder the terms: -88 = -18 + 2 + 9k Combine like terms: -18 + 2 = -16 -88 = -16 + 9k Solving -88 = -16 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -88 + -9k = -16 + 9k + -9k Combine like terms: 9k + -9k = 0 -88 + -9k = -16 + 0 -88 + -9k = -16 Add '88' to each side of the equation. -88 + 88 + -9k = -16 + 88 Combine like terms: -88 + 88 = 0 0 + -9k = -16 + 88 -9k = -16 + 88 Combine like terms: -16 + 88 = 72 -9k = 72 Divide each side by '-9'. k = -8 Simplifying k = -8
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