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Simplifying -70 = 5(-4 + 6k) -70 = (-4 * 5 + 6k * 5) -70 = (-20 + 30k) Solving -70 = -20 + 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. -70 + -30k = -20 + 30k + -30k Combine like terms: 30k + -30k = 0 -70 + -30k = -20 + 0 -70 + -30k = -20 Add '70' to each side of the equation. -70 + 70 + -30k = -20 + 70 Combine like terms: -70 + 70 = 0 0 + -30k = -20 + 70 -30k = -20 + 70 Combine like terms: -20 + 70 = 50 -30k = 50 Divide each side by '-30'. k = -1.666666667 Simplifying k = -1.666666667
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