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Simplifying 8.56 = k + -1(-33) Multiply -1 * -33 8.56 = k + 33 Reorder the terms: 8.56 = 33 + k Solving 8.56 = 33 + 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. 8.56 + -1k = 33 + k + -1k Combine like terms: k + -1k = 0 8.56 + -1k = 33 + 0 8.56 + -1k = 33 Add '-8.56' to each side of the equation. 8.56 + -8.56 + -1k = 33 + -8.56 Combine like terms: 8.56 + -8.56 = 0.00 0.00 + -1k = 33 + -8.56 -1k = 33 + -8.56 Combine like terms: 33 + -8.56 = 24.44 -1k = 24.44 Divide each side by '-1'. k = -24.44 Simplifying k = -24.44
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