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Simplifying 6(-7k + 7) = 5k + -5 Reorder the terms: 6(7 + -7k) = 5k + -5 (7 * 6 + -7k * 6) = 5k + -5 (42 + -42k) = 5k + -5 Reorder the terms: 42 + -42k = -5 + 5k Solving 42 + -42k = -5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 42 + -42k + -5k = -5 + 5k + -5k Combine like terms: -42k + -5k = -47k 42 + -47k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 42 + -47k = -5 + 0 42 + -47k = -5 Add '-42' to each side of the equation. 42 + -42 + -47k = -5 + -42 Combine like terms: 42 + -42 = 0 0 + -47k = -5 + -42 -47k = -5 + -42 Combine like terms: -5 + -42 = -47 -47k = -47 Divide each side by '-47'. k = 1 Simplifying k = 1
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