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Simplifying -7(3k + -1) + 6 = 160 Reorder the terms: -7(-1 + 3k) + 6 = 160 (-1 * -7 + 3k * -7) + 6 = 160 (7 + -21k) + 6 = 160 Reorder the terms: 7 + 6 + -21k = 160 Combine like terms: 7 + 6 = 13 13 + -21k = 160 Solving 13 + -21k = 160 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -21k = 160 + -13 Combine like terms: 13 + -13 = 0 0 + -21k = 160 + -13 -21k = 160 + -13 Combine like terms: 160 + -13 = 147 -21k = 147 Divide each side by '-21'. k = -7 Simplifying k = -7
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