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Simplifying 64 = k + -1(-31) Multiply -1 * -31 64 = k + 31 Reorder the terms: 64 = 31 + k Solving 64 = 31 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 64 + -1k = 31 + k + -1k Combine like terms: k + -1k = 0 64 + -1k = 31 + 0 64 + -1k = 31 Add '-64' to each side of the equation. 64 + -64 + -1k = 31 + -64 Combine like terms: 64 + -64 = 0 0 + -1k = 31 + -64 -1k = 31 + -64 Combine like terms: 31 + -64 = -33 -1k = -33 Divide each side by '-1'. k = 33 Simplifying k = 33
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