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Simplifying 7(k + -8) = -2(k + 1) Reorder the terms: 7(-8 + k) = -2(k + 1) (-8 * 7 + k * 7) = -2(k + 1) (-56 + 7k) = -2(k + 1) Reorder the terms: -56 + 7k = -2(1 + k) -56 + 7k = (1 * -2 + k * -2) -56 + 7k = (-2 + -2k) Solving -56 + 7k = -2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -56 + 7k + 2k = -2 + -2k + 2k Combine like terms: 7k + 2k = 9k -56 + 9k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 -56 + 9k = -2 + 0 -56 + 9k = -2 Add '56' to each side of the equation. -56 + 56 + 9k = -2 + 56 Combine like terms: -56 + 56 = 0 0 + 9k = -2 + 56 9k = -2 + 56 Combine like terms: -2 + 56 = 54 9k = 54 Divide each side by '9'. k = 6 Simplifying k = 6
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