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Simplifying -57 = -12 + 3k Solving -57 = -12 + 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 = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 -57 + -3k = -12 + 0 -57 + -3k = -12 Add '57' to each side of the equation. -57 + 57 + -3k = -12 + 57 Combine like terms: -57 + 57 = 0 0 + -3k = -12 + 57 -3k = -12 + 57 Combine like terms: -12 + 57 = 45 -3k = 45 Divide each side by '-3'. k = -15 Simplifying k = -15
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