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Simplifying 158 = -3(2 + 7k) + -7 158 = (2 * -3 + 7k * -3) + -7 158 = (-6 + -21k) + -7 Reorder the terms: 158 = -6 + -7 + -21k Combine like terms: -6 + -7 = -13 158 = -13 + -21k Solving 158 = -13 + -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 = -13 + -21k + 21k Combine like terms: -21k + 21k = 0 158 + 21k = -13 + 0 158 + 21k = -13 Add '-158' to each side of the equation. 158 + -158 + 21k = -13 + -158 Combine like terms: 158 + -158 = 0 0 + 21k = -13 + -158 21k = -13 + -158 Combine like terms: -13 + -158 = -171 21k = -171 Divide each side by '21'. k = -8.142857143 Simplifying k = -8.142857143
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