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Simplifying 7(2 + 2k) + -5k = -10 + 6x (2 * 7 + 2k * 7) + -5k = -10 + 6x (14 + 14k) + -5k = -10 + 6x Combine like terms: 14k + -5k = 9k 14 + 9k = -10 + 6x Solving 14 + 9k = -10 + 6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9k = -10 + -14 + 6x Combine like terms: 14 + -14 = 0 0 + 9k = -10 + -14 + 6x 9k = -10 + -14 + 6x Combine like terms: -10 + -14 = -24 9k = -24 + 6x Divide each side by '9'. k = -2.666666667 + 0.6666666667x Simplifying k = -2.666666667 + 0.6666666667x
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