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Simplifying 4k + 7(1 + -2k) = 87 4k + (1 * 7 + -2k * 7) = 87 4k + (7 + -14k) = 87 Reorder the terms: 7 + 4k + -14k = 87 Combine like terms: 4k + -14k = -10k 7 + -10k = 87 Solving 7 + -10k = 87 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10k = 87 + -7 Combine like terms: 7 + -7 = 0 0 + -10k = 87 + -7 -10k = 87 + -7 Combine like terms: 87 + -7 = 80 -10k = 80 Divide each side by '-10'. k = -8 Simplifying k = -8
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