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Simplifying 0.5 + -3 = 2 + -0.75k Combine like terms: 0.5 + -3 = -2.5 -2.5 = 2 + -0.75k Solving -2.5 = 2 + -0.75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75k' to each side of the equation. -2.5 + 0.75k = 2 + -0.75k + 0.75k Combine like terms: -0.75k + 0.75k = 0.00 -2.5 + 0.75k = 2 + 0.00 -2.5 + 0.75k = 2 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.75k = 2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.75k = 2 + 2.5 0.75k = 2 + 2.5 Combine like terms: 2 + 2.5 = 4.5 0.75k = 4.5 Divide each side by '0.75'. k = 6 Simplifying k = 6
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