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Simplifying 167 = 6 + -7(1 + 3k) 167 = 6 + (1 * -7 + 3k * -7) 167 = 6 + (-7 + -21k) Combine like terms: 6 + -7 = -1 167 = -1 + -21k Solving 167 = -1 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 167 + 21k = -1 + -21k + 21k Combine like terms: -21k + 21k = 0 167 + 21k = -1 + 0 167 + 21k = -1 Add '-167' to each side of the equation. 167 + -167 + 21k = -1 + -167 Combine like terms: 167 + -167 = 0 0 + 21k = -1 + -167 21k = -1 + -167 Combine like terms: -1 + -167 = -168 21k = -168 Divide each side by '21'. k = -8 Simplifying k = -8
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