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Simplifying 210 = 6(5 + -5k) 210 = (5 * 6 + -5k * 6) 210 = (30 + -30k) Solving 210 = 30 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 210 + 30k = 30 + -30k + 30k Combine like terms: -30k + 30k = 0 210 + 30k = 30 + 0 210 + 30k = 30 Add '-210' to each side of the equation. 210 + -210 + 30k = 30 + -210 Combine like terms: 210 + -210 = 0 0 + 30k = 30 + -210 30k = 30 + -210 Combine like terms: 30 + -210 = -180 30k = -180 Divide each side by '30'. k = -6 Simplifying k = -6
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