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Simplifying 78 = -6(2 + 5k) 78 = (2 * -6 + 5k * -6) 78 = (-12 + -30k) Solving 78 = -12 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 78 + 30k = -12 + -30k + 30k Combine like terms: -30k + 30k = 0 78 + 30k = -12 + 0 78 + 30k = -12 Add '-78' to each side of the equation. 78 + -78 + 30k = -12 + -78 Combine like terms: 78 + -78 = 0 0 + 30k = -12 + -78 30k = -12 + -78 Combine like terms: -12 + -78 = -90 30k = -90 Divide each side by '30'. k = -3 Simplifying k = -3
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