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Simplifying -202 = 48k + -40 + 6k Reorder the terms: -202 = -40 + 48k + 6k Combine like terms: 48k + 6k = 54k -202 = -40 + 54k Solving -202 = -40 + 54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54k' to each side of the equation. -202 + -54k = -40 + 54k + -54k Combine like terms: 54k + -54k = 0 -202 + -54k = -40 + 0 -202 + -54k = -40 Add '202' to each side of the equation. -202 + 202 + -54k = -40 + 202 Combine like terms: -202 + 202 = 0 0 + -54k = -40 + 202 -54k = -40 + 202 Combine like terms: -40 + 202 = 162 -54k = 162 Divide each side by '-54'. k = -3 Simplifying k = -3
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