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Simplifying -3(-18k + 18) + 18 = 8(7k + -8) Reorder the terms: -3(18 + -18k) + 18 = 8(7k + -8) (18 * -3 + -18k * -3) + 18 = 8(7k + -8) (-54 + 54k) + 18 = 8(7k + -8) Reorder the terms: -54 + 18 + 54k = 8(7k + -8) Combine like terms: -54 + 18 = -36 -36 + 54k = 8(7k + -8) Reorder the terms: -36 + 54k = 8(-8 + 7k) -36 + 54k = (-8 * 8 + 7k * 8) -36 + 54k = (-64 + 56k) Solving -36 + 54k = -64 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. -36 + 54k + -56k = -64 + 56k + -56k Combine like terms: 54k + -56k = -2k -36 + -2k = -64 + 56k + -56k Combine like terms: 56k + -56k = 0 -36 + -2k = -64 + 0 -36 + -2k = -64 Add '36' to each side of the equation. -36 + 36 + -2k = -64 + 36 Combine like terms: -36 + 36 = 0 0 + -2k = -64 + 36 -2k = -64 + 36 Combine like terms: -64 + 36 = -28 -2k = -28 Divide each side by '-2'. k = 14 Simplifying k = 14
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