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Simplifying 4(k + -0.50) = 38 + -2k + 8 Reorder the terms: 4(-0.50 + k) = 38 + -2k + 8 (-0.50 * 4 + k * 4) = 38 + -2k + 8 (-2 + 4k) = 38 + -2k + 8 Reorder the terms: -2 + 4k = 38 + 8 + -2k Combine like terms: 38 + 8 = 46 -2 + 4k = 46 + -2k Solving -2 + 4k = 46 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -2 + 4k + 2k = 46 + -2k + 2k Combine like terms: 4k + 2k = 6k -2 + 6k = 46 + -2k + 2k Combine like terms: -2k + 2k = 0 -2 + 6k = 46 + 0 -2 + 6k = 46 Add '2' to each side of the equation. -2 + 2 + 6k = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 6k = 46 + 2 6k = 46 + 2 Combine like terms: 46 + 2 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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