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Simplifying 9k + -7 = 9 + 5(k + -10) Reorder the terms: -7 + 9k = 9 + 5(k + -10) Reorder the terms: -7 + 9k = 9 + 5(-10 + k) -7 + 9k = 9 + (-10 * 5 + k * 5) -7 + 9k = 9 + (-50 + 5k) Combine like terms: 9 + -50 = -41 -7 + 9k = -41 + 5k Solving -7 + 9k = -41 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -7 + 9k + -5k = -41 + 5k + -5k Combine like terms: 9k + -5k = 4k -7 + 4k = -41 + 5k + -5k Combine like terms: 5k + -5k = 0 -7 + 4k = -41 + 0 -7 + 4k = -41 Add '7' to each side of the equation. -7 + 7 + 4k = -41 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = -41 + 7 4k = -41 + 7 Combine like terms: -41 + 7 = -34 4k = -34 Divide each side by '4'. k = -8.5 Simplifying k = -8.5
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