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Simplifying -3(6k + 5) + -3 = 7(7 + 7k) Reorder the terms: -3(5 + 6k) + -3 = 7(7 + 7k) (5 * -3 + 6k * -3) + -3 = 7(7 + 7k) (-15 + -18k) + -3 = 7(7 + 7k) Reorder the terms: -15 + -3 + -18k = 7(7 + 7k) Combine like terms: -15 + -3 = -18 -18 + -18k = 7(7 + 7k) -18 + -18k = (7 * 7 + 7k * 7) -18 + -18k = (49 + 49k) Solving -18 + -18k = 49 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. -18 + -18k + -49k = 49 + 49k + -49k Combine like terms: -18k + -49k = -67k -18 + -67k = 49 + 49k + -49k Combine like terms: 49k + -49k = 0 -18 + -67k = 49 + 0 -18 + -67k = 49 Add '18' to each side of the equation. -18 + 18 + -67k = 49 + 18 Combine like terms: -18 + 18 = 0 0 + -67k = 49 + 18 -67k = 49 + 18 Combine like terms: 49 + 18 = 67 -67k = 67 Divide each side by '-67'. k = -1 Simplifying k = -1
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