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Simplifying -3 + 18k = 3(7k + -12) Reorder the terms: -3 + 18k = 3(-12 + 7k) -3 + 18k = (-12 * 3 + 7k * 3) -3 + 18k = (-36 + 21k) Solving -3 + 18k = -36 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -3 + 18k + -21k = -36 + 21k + -21k Combine like terms: 18k + -21k = -3k -3 + -3k = -36 + 21k + -21k Combine like terms: 21k + -21k = 0 -3 + -3k = -36 + 0 -3 + -3k = -36 Add '3' to each side of the equation. -3 + 3 + -3k = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -3k = -36 + 3 -3k = -36 + 3 Combine like terms: -36 + 3 = -33 -3k = -33 Divide each side by '-3'. k = 11 Simplifying k = 11
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