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Simplifying 4 + -1(8k + -69) = 12k + 15 Reorder the terms: 4 + -1(-69 + 8k) = 12k + 15 4 + (-69 * -1 + 8k * -1) = 12k + 15 4 + (69 + -8k) = 12k + 15 Combine like terms: 4 + 69 = 73 73 + -8k = 12k + 15 Reorder the terms: 73 + -8k = 15 + 12k Solving 73 + -8k = 15 + 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. 73 + -8k + -12k = 15 + 12k + -12k Combine like terms: -8k + -12k = -20k 73 + -20k = 15 + 12k + -12k Combine like terms: 12k + -12k = 0 73 + -20k = 15 + 0 73 + -20k = 15 Add '-73' to each side of the equation. 73 + -73 + -20k = 15 + -73 Combine like terms: 73 + -73 = 0 0 + -20k = 15 + -73 -20k = 15 + -73 Combine like terms: 15 + -73 = -58 -20k = -58 Divide each side by '-20'. k = 2.9 Simplifying k = 2.9
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