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Simplifying 158 = -3(1 + 7k) + -7 158 = (1 * -3 + 7k * -3) + -7 158 = (-3 + -21k) + -7 Reorder the terms: 158 = -3 + -7 + -21k Combine like terms: -3 + -7 = -10 158 = -10 + -21k Solving 158 = -10 + -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. 158 + 21k = -10 + -21k + 21k Combine like terms: -21k + 21k = 0 158 + 21k = -10 + 0 158 + 21k = -10 Add '-158' to each side of the equation. 158 + -158 + 21k = -10 + -158 Combine like terms: 158 + -158 = 0 0 + 21k = -10 + -158 21k = -10 + -158 Combine like terms: -10 + -158 = -168 21k = -168 Divide each side by '21'. k = -8 Simplifying k = -8
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