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Simplifying -17 = 8 + 3(k + -4) Reorder the terms: -17 = 8 + 3(-4 + k) -17 = 8 + (-4 * 3 + k * 3) -17 = 8 + (-12 + 3k) Combine like terms: 8 + -12 = -4 -17 = -4 + 3k Solving -17 = -4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -17 + -3k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 -17 + -3k = -4 + 0 -17 + -3k = -4 Add '17' to each side of the equation. -17 + 17 + -3k = -4 + 17 Combine like terms: -17 + 17 = 0 0 + -3k = -4 + 17 -3k = -4 + 17 Combine like terms: -4 + 17 = 13 -3k = 13 Divide each side by '-3'. k = -4.333333333 Simplifying k = -4.333333333
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