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Simplifying 1k + 9 = 6(1k + -11) Reorder the terms: 9 + 1k = 6(1k + -11) Reorder the terms: 9 + 1k = 6(-11 + 1k) 9 + 1k = (-11 * 6 + 1k * 6) 9 + 1k = (-66 + 6k) Solving 9 + 1k = -66 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 9 + 1k + -6k = -66 + 6k + -6k Combine like terms: 1k + -6k = -5k 9 + -5k = -66 + 6k + -6k Combine like terms: 6k + -6k = 0 9 + -5k = -66 + 0 9 + -5k = -66 Add '-9' to each side of the equation. 9 + -9 + -5k = -66 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -66 + -9 -5k = -66 + -9 Combine like terms: -66 + -9 = -75 -5k = -75 Divide each side by '-5'. k = 15 Simplifying k = 15
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