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Simplifying 8.2 + -1(-1.5) = k Multiply -1 * -1.5 8.2 + 1.5 = k Combine like terms: 8.2 + 1.5 = 9.7 9.7 = k Solving 9.7 = 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. 9.7 + -1k = k + -1k Combine like terms: k + -1k = 0 9.7 + -1k = 0 Add '-9.7' to each side of the equation. 9.7 + -9.7 + -1k = 0 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + -1k = 0 + -9.7 -1k = 0 + -9.7 Combine like terms: 0 + -9.7 = -9.7 -1k = -9.7 Divide each side by '-1'. k = 9.7 Simplifying k = 9.7
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