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Simplifying 3k + 8 = 16k + -57 Reorder the terms: 8 + 3k = 16k + -57 Reorder the terms: 8 + 3k = -57 + 16k Solving 8 + 3k = -57 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 8 + 3k + -16k = -57 + 16k + -16k Combine like terms: 3k + -16k = -13k 8 + -13k = -57 + 16k + -16k Combine like terms: 16k + -16k = 0 8 + -13k = -57 + 0 8 + -13k = -57 Add '-8' to each side of the equation. 8 + -8 + -13k = -57 + -8 Combine like terms: 8 + -8 = 0 0 + -13k = -57 + -8 -13k = -57 + -8 Combine like terms: -57 + -8 = -65 -13k = -65 Divide each side by '-13'. k = 5 Simplifying k = 5
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