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Simplifying 2.8(5) = 5.6(5) + k Multiply 2.8 * 5 14 = 5.6(5) + k Multiply 5.6 * 5 14 = 28 + k Solving 14 = 28 + 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. 14 + -1k = 28 + k + -1k Combine like terms: k + -1k = 0 14 + -1k = 28 + 0 14 + -1k = 28 Add '-14' to each side of the equation. 14 + -14 + -1k = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -1k = 28 + -14 -1k = 28 + -14 Combine like terms: 28 + -14 = 14 -1k = 14 Divide each side by '-1'. k = -14 Simplifying k = -14
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