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Simplifying 7(3k + 8) = 4(6k + -1) Reorder the terms: 7(8 + 3k) = 4(6k + -1) (8 * 7 + 3k * 7) = 4(6k + -1) (56 + 21k) = 4(6k + -1) Reorder the terms: 56 + 21k = 4(-1 + 6k) 56 + 21k = (-1 * 4 + 6k * 4) 56 + 21k = (-4 + 24k) Solving 56 + 21k = -4 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 56 + 21k + -24k = -4 + 24k + -24k Combine like terms: 21k + -24k = -3k 56 + -3k = -4 + 24k + -24k Combine like terms: 24k + -24k = 0 56 + -3k = -4 + 0 56 + -3k = -4 Add '-56' to each side of the equation. 56 + -56 + -3k = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -3k = -4 + -56 -3k = -4 + -56 Combine like terms: -4 + -56 = -60 -3k = -60 Divide each side by '-3'. k = 20 Simplifying k = 20
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