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Simplifying 23 + 6k = -3(1 + -4k) + -4 23 + 6k = (1 * -3 + -4k * -3) + -4 23 + 6k = (-3 + 12k) + -4 Reorder the terms: 23 + 6k = -3 + -4 + 12k Combine like terms: -3 + -4 = -7 23 + 6k = -7 + 12k Solving 23 + 6k = -7 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 23 + 6k + -12k = -7 + 12k + -12k Combine like terms: 6k + -12k = -6k 23 + -6k = -7 + 12k + -12k Combine like terms: 12k + -12k = 0 23 + -6k = -7 + 0 23 + -6k = -7 Add '-23' to each side of the equation. 23 + -23 + -6k = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -6k = -7 + -23 -6k = -7 + -23 Combine like terms: -7 + -23 = -30 -6k = -30 Divide each side by '-6'. k = 5 Simplifying k = 5
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