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Simplifying 6(k + -3) = -7 + -5k Reorder the terms: 6(-3 + k) = -7 + -5k (-3 * 6 + k * 6) = -7 + -5k (-18 + 6k) = -7 + -5k Solving -18 + 6k = -7 + -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. -18 + 6k + 5k = -7 + -5k + 5k Combine like terms: 6k + 5k = 11k -18 + 11k = -7 + -5k + 5k Combine like terms: -5k + 5k = 0 -18 + 11k = -7 + 0 -18 + 11k = -7 Add '18' to each side of the equation. -18 + 18 + 11k = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 11k = -7 + 18 11k = -7 + 18 Combine like terms: -7 + 18 = 11 11k = 11 Divide each side by '11'. k = 1 Simplifying k = 1
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