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Simplifying 4(k + -0.5) = 42 Reorder the terms: 4(-0.5 + k) = 42 (-0.5 * 4 + k * 4) = 42 (-2 + 4k) = 42 Solving -2 + 4k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4k = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 42 + 2 4k = 42 + 2 Combine like terms: 42 + 2 = 44 4k = 44 Divide each side by '4'. k = 11 Simplifying k = 11
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