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Simplifying 4 + -8(2k + -1) = 14k Reorder the terms: 4 + -8(-1 + 2k) = 14k 4 + (-1 * -8 + 2k * -8) = 14k 4 + (8 + -16k) = 14k Combine like terms: 4 + 8 = 12 12 + -16k = 14k Solving 12 + -16k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 12 + -16k + -14k = 14k + -14k Combine like terms: -16k + -14k = -30k 12 + -30k = 14k + -14k Combine like terms: 14k + -14k = 0 12 + -30k = 0 Add '-12' to each side of the equation. 12 + -12 + -30k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -30k = 0 + -12 -30k = 0 + -12 Combine like terms: 0 + -12 = -12 -30k = -12 Divide each side by '-30'. k = 0.4 Simplifying k = 0.4
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