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Simplifying 45k + 64 = 32k Reorder the terms: 64 + 45k = 32k Solving 64 + 45k = 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 64 + 45k + -32k = 32k + -32k Combine like terms: 45k + -32k = 13k 64 + 13k = 32k + -32k Combine like terms: 32k + -32k = 0 64 + 13k = 0 Add '-64' to each side of the equation. 64 + -64 + 13k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 13k = 0 + -64 13k = 0 + -64 Combine like terms: 0 + -64 = -64 13k = -64 Divide each side by '13'. k = -4.923076923 Simplifying k = -4.923076923
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