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Simplifying -21 = -5(3k + -7) Reorder the terms: -21 = -5(-7 + 3k) -21 = (-7 * -5 + 3k * -5) -21 = (35 + -15k) Solving -21 = 35 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -21 + 15k = 35 + -15k + 15k Combine like terms: -15k + 15k = 0 -21 + 15k = 35 + 0 -21 + 15k = 35 Add '21' to each side of the equation. -21 + 21 + 15k = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 15k = 35 + 21 15k = 35 + 21 Combine like terms: 35 + 21 = 56 15k = 56 Divide each side by '15'. k = 3.733333333 Simplifying k = 3.733333333
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