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Simplifying 312 = -6(7k + -3) Reorder the terms: 312 = -6(-3 + 7k) 312 = (-3 * -6 + 7k * -6) 312 = (18 + -42k) Solving 312 = 18 + -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. 312 + 42k = 18 + -42k + 42k Combine like terms: -42k + 42k = 0 312 + 42k = 18 + 0 312 + 42k = 18 Add '-312' to each side of the equation. 312 + -312 + 42k = 18 + -312 Combine like terms: 312 + -312 = 0 0 + 42k = 18 + -312 42k = 18 + -312 Combine like terms: 18 + -312 = -294 42k = -294 Divide each side by '42'. k = -7 Simplifying k = -7
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