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Simplifying 3k + -7(2k + -13) = 3(-2k + 9) Reorder the terms: 3k + -7(-13 + 2k) = 3(-2k + 9) 3k + (-13 * -7 + 2k * -7) = 3(-2k + 9) 3k + (91 + -14k) = 3(-2k + 9) Reorder the terms: 91 + 3k + -14k = 3(-2k + 9) Combine like terms: 3k + -14k = -11k 91 + -11k = 3(-2k + 9) Reorder the terms: 91 + -11k = 3(9 + -2k) 91 + -11k = (9 * 3 + -2k * 3) 91 + -11k = (27 + -6k) Solving 91 + -11k = 27 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 91 + -11k + 6k = 27 + -6k + 6k Combine like terms: -11k + 6k = -5k 91 + -5k = 27 + -6k + 6k Combine like terms: -6k + 6k = 0 91 + -5k = 27 + 0 91 + -5k = 27 Add '-91' to each side of the equation. 91 + -91 + -5k = 27 + -91 Combine like terms: 91 + -91 = 0 0 + -5k = 27 + -91 -5k = 27 + -91 Combine like terms: 27 + -91 = -64 -5k = -64 Divide each side by '-5'. k = 12.8 Simplifying k = 12.8
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