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Simplifying 25 = -5(3k) + 5(7) Remove parenthesis around (3k) 25 = -5 * 3k + 5(7) Multiply -5 * 3 25 = -15k + 5(7) Multiply 5 * 7 25 = -15k + 35 Reorder the terms: 25 = 35 + -15k Solving 25 = 35 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 25 + 15k = 35 + -15k + 15k Combine like terms: -15k + 15k = 0 25 + 15k = 35 + 0 25 + 15k = 35 Add '-25' to each side of the equation. 25 + -25 + 15k = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 15k = 35 + -25 15k = 35 + -25 Combine like terms: 35 + -25 = 10 15k = 10 Divide each side by '15'. k = 0.6666666667 Simplifying k = 0.6666666667
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