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Simplifying 6 + 5(k + 7) = -6(k + 4) + 6k Reorder the terms: 6 + 5(7 + k) = -6(k + 4) + 6k 6 + (7 * 5 + k * 5) = -6(k + 4) + 6k 6 + (35 + 5k) = -6(k + 4) + 6k Combine like terms: 6 + 35 = 41 41 + 5k = -6(k + 4) + 6k Reorder the terms: 41 + 5k = -6(4 + k) + 6k 41 + 5k = (4 * -6 + k * -6) + 6k 41 + 5k = (-24 + -6k) + 6k Combine like terms: -6k + 6k = 0 41 + 5k = -24 + 0 41 + 5k = -24 Solving 41 + 5k = -24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5k = -24 + -41 Combine like terms: 41 + -41 = 0 0 + 5k = -24 + -41 5k = -24 + -41 Combine like terms: -24 + -41 = -65 5k = -65 Divide each side by '5'. k = -13 Simplifying k = -13
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