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Simplifying 8.3 = 4(k) + -2.5 Reorder the terms: 8.3 = -2.5 + 4k Solving 8.3 = -2.5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 8.3 + -4k = -2.5 + 4k + -4k Combine like terms: 4k + -4k = 0 8.3 + -4k = -2.5 + 0 8.3 + -4k = -2.5 Add '-8.3' to each side of the equation. 8.3 + -8.3 + -4k = -2.5 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + -4k = -2.5 + -8.3 -4k = -2.5 + -8.3 Combine like terms: -2.5 + -8.3 = -10.8 -4k = -10.8 Divide each side by '-4'. k = 2.7 Simplifying k = 2.7
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