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Simplifying 32 = 0.4(20k) + 27 + 9k + 12 Remove parenthesis around (20k) 32 = 0.4 * 20k + 27 + 9k + 12 Multiply 0.4 * 20 32 = 8k + 27 + 9k + 12 Reorder the terms: 32 = 27 + 12 + 8k + 9k Combine like terms: 27 + 12 = 39 32 = 39 + 8k + 9k Combine like terms: 8k + 9k = 17k 32 = 39 + 17k Solving 32 = 39 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 32 + -17k = 39 + 17k + -17k Combine like terms: 17k + -17k = 0 32 + -17k = 39 + 0 32 + -17k = 39 Add '-32' to each side of the equation. 32 + -32 + -17k = 39 + -32 Combine like terms: 32 + -32 = 0 0 + -17k = 39 + -32 -17k = 39 + -32 Combine like terms: 39 + -32 = 7 -17k = 7 Divide each side by '-17'. k = -0.4117647059 Simplifying k = -0.4117647059
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