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Simplifying 7 + (5 * 0.1) = k Multiply 5 * 0.1 7 + (0.5) = k 7 + 0.5 = k Combine like terms: 7 + 0.5 = 7.5 7.5 = k Solving 7.5 = 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. 7.5 + -1k = k + -1k Combine like terms: k + -1k = 0 7.5 + -1k = 0 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -1k = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -1k = 0 + -7.5 -1k = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -1k = -7.5 Divide each side by '-1'. k = 7.5 Simplifying k = 7.5
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