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Simplifying 7(3k + -3) = k + -5 Reorder the terms: 7(-3 + 3k) = k + -5 (-3 * 7 + 3k * 7) = k + -5 (-21 + 21k) = k + -5 Reorder the terms: -21 + 21k = -5 + k Solving -21 + 21k = -5 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -21 + 21k + -1k = -5 + k + -1k Combine like terms: 21k + -1k = 20k -21 + 20k = -5 + k + -1k Combine like terms: k + -1k = 0 -21 + 20k = -5 + 0 -21 + 20k = -5 Add '21' to each side of the equation. -21 + 21 + 20k = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 20k = -5 + 21 20k = -5 + 21 Combine like terms: -5 + 21 = 16 20k = 16 Divide each side by '20'. k = 0.8 Simplifying k = 0.8
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