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Simplifying 162 = 6(-8 + -7k) 162 = (-8 * 6 + -7k * 6) 162 = (-48 + -42k) Solving 162 = -48 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 162 + 42k = -48 + -42k + 42k Combine like terms: -42k + 42k = 0 162 + 42k = -48 + 0 162 + 42k = -48 Add '-162' to each side of the equation. 162 + -162 + 42k = -48 + -162 Combine like terms: 162 + -162 = 0 0 + 42k = -48 + -162 42k = -48 + -162 Combine like terms: -48 + -162 = -210 42k = -210 Divide each side by '42'. k = -5 Simplifying k = -5
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