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Simplifying 7(1 + -2k) = -23 + -4k (1 * 7 + -2k * 7) = -23 + -4k (7 + -14k) = -23 + -4k Solving 7 + -14k = -23 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 7 + -14k + 4k = -23 + -4k + 4k Combine like terms: -14k + 4k = -10k 7 + -10k = -23 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + -10k = -23 + 0 7 + -10k = -23 Add '-7' to each side of the equation. 7 + -7 + -10k = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -10k = -23 + -7 -10k = -23 + -7 Combine like terms: -23 + -7 = -30 -10k = -30 Divide each side by '-10'. k = 3 Simplifying k = 3
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