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Simplifying 5(k + -78) + -96 = -51 Reorder the terms: 5(-78 + k) + -96 = -51 (-78 * 5 + k * 5) + -96 = -51 (-390 + 5k) + -96 = -51 Reorder the terms: -390 + -96 + 5k = -51 Combine like terms: -390 + -96 = -486 -486 + 5k = -51 Solving -486 + 5k = -51 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '486' to each side of the equation. -486 + 486 + 5k = -51 + 486 Combine like terms: -486 + 486 = 0 0 + 5k = -51 + 486 5k = -51 + 486 Combine like terms: -51 + 486 = 435 5k = 435 Divide each side by '5'. k = 87 Simplifying k = 87
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