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Simplifying 11(k + -3) = 6(k + -11) Reorder the terms: 11(-3 + k) = 6(k + -11) (-3 * 11 + k * 11) = 6(k + -11) (-33 + 11k) = 6(k + -11) Reorder the terms: -33 + 11k = 6(-11 + k) -33 + 11k = (-11 * 6 + k * 6) -33 + 11k = (-66 + 6k) Solving -33 + 11k = -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. -33 + 11k + -6k = -66 + 6k + -6k Combine like terms: 11k + -6k = 5k -33 + 5k = -66 + 6k + -6k Combine like terms: 6k + -6k = 0 -33 + 5k = -66 + 0 -33 + 5k = -66 Add '33' to each side of the equation. -33 + 33 + 5k = -66 + 33 Combine like terms: -33 + 33 = 0 0 + 5k = -66 + 33 5k = -66 + 33 Combine like terms: -66 + 33 = -33 5k = -33 Divide each side by '5'. k = -6.6 Simplifying k = -6.6
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