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Simplifying 7(10 + -3k) = 5(15 + -4k) (10 * 7 + -3k * 7) = 5(15 + -4k) (70 + -21k) = 5(15 + -4k) 70 + -21k = (15 * 5 + -4k * 5) 70 + -21k = (75 + -20k) Solving 70 + -21k = 75 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 70 + -21k + 20k = 75 + -20k + 20k Combine like terms: -21k + 20k = -1k 70 + -1k = 75 + -20k + 20k Combine like terms: -20k + 20k = 0 70 + -1k = 75 + 0 70 + -1k = 75 Add '-70' to each side of the equation. 70 + -70 + -1k = 75 + -70 Combine like terms: 70 + -70 = 0 0 + -1k = 75 + -70 -1k = 75 + -70 Combine like terms: 75 + -70 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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