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Simplifying 9(-9k + 13) + -16k = -5(8k + -12) Reorder the terms: 9(13 + -9k) + -16k = -5(8k + -12) (13 * 9 + -9k * 9) + -16k = -5(8k + -12) (117 + -81k) + -16k = -5(8k + -12) Combine like terms: -81k + -16k = -97k 117 + -97k = -5(8k + -12) Reorder the terms: 117 + -97k = -5(-12 + 8k) 117 + -97k = (-12 * -5 + 8k * -5) 117 + -97k = (60 + -40k) Solving 117 + -97k = 60 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. 117 + -97k + 40k = 60 + -40k + 40k Combine like terms: -97k + 40k = -57k 117 + -57k = 60 + -40k + 40k Combine like terms: -40k + 40k = 0 117 + -57k = 60 + 0 117 + -57k = 60 Add '-117' to each side of the equation. 117 + -117 + -57k = 60 + -117 Combine like terms: 117 + -117 = 0 0 + -57k = 60 + -117 -57k = 60 + -117 Combine like terms: 60 + -117 = -57 -57k = -57 Divide each side by '-57'. k = 1 Simplifying k = 1
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