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Simplifying -57 = -3(k + 7) Reorder the terms: -57 = -3(7 + k) -57 = (7 * -3 + k * -3) -57 = (-21 + -3k) Solving -57 = -21 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -57 + 3k = -21 + -3k + 3k Combine like terms: -3k + 3k = 0 -57 + 3k = -21 + 0 -57 + 3k = -21 Add '57' to each side of the equation. -57 + 57 + 3k = -21 + 57 Combine like terms: -57 + 57 = 0 0 + 3k = -21 + 57 3k = -21 + 57 Combine like terms: -21 + 57 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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