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Simplifying 8(6 + -1k) + 5 = -5(k + -2) + -5 (6 * 8 + -1k * 8) + 5 = -5(k + -2) + -5 (48 + -8k) + 5 = -5(k + -2) + -5 Reorder the terms: 48 + 5 + -8k = -5(k + -2) + -5 Combine like terms: 48 + 5 = 53 53 + -8k = -5(k + -2) + -5 Reorder the terms: 53 + -8k = -5(-2 + k) + -5 53 + -8k = (-2 * -5 + k * -5) + -5 53 + -8k = (10 + -5k) + -5 Reorder the terms: 53 + -8k = 10 + -5 + -5k Combine like terms: 10 + -5 = 5 53 + -8k = 5 + -5k Solving 53 + -8k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 53 + -8k + 5k = 5 + -5k + 5k Combine like terms: -8k + 5k = -3k 53 + -3k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 53 + -3k = 5 + 0 53 + -3k = 5 Add '-53' to each side of the equation. 53 + -53 + -3k = 5 + -53 Combine like terms: 53 + -53 = 0 0 + -3k = 5 + -53 -3k = 5 + -53 Combine like terms: 5 + -53 = -48 -3k = -48 Divide each side by '-3'. k = 16 Simplifying k = 16
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