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Simplifying -170 = 7k + -1(-6) + -14 Multiply -1 * -6 -170 = 7k + 6 + -14 Reorder the terms: -170 = 6 + -14 + 7k Combine like terms: 6 + -14 = -8 -170 = -8 + 7k Solving -170 = -8 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -170 + -7k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 -170 + -7k = -8 + 0 -170 + -7k = -8 Add '170' to each side of the equation. -170 + 170 + -7k = -8 + 170 Combine like terms: -170 + 170 = 0 0 + -7k = -8 + 170 -7k = -8 + 170 Combine like terms: -8 + 170 = 162 -7k = 162 Divide each side by '-7'. k = -23.14285714 Simplifying k = -23.14285714
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