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Simplifying -7k + -3[2k + 3] + -2k = 0 Reorder the terms: -7k + -3[3 + 2k] + -2k = 0 -7k + [3 * -3 + 2k * -3] + -2k = 0 -7k + [-9 + -6k] + -2k = 0 Reorder the terms: -9 + -7k + -6k + -2k = 0 Combine like terms: -7k + -6k = -13k -9 + -13k + -2k = 0 Combine like terms: -13k + -2k = -15k -9 + -15k = 0 Solving -9 + -15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -15k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -15k = 0 + 9 -15k = 0 + 9 Combine like terms: 0 + 9 = 9 -15k = 9 Divide each side by '-15'. k = -0.6 Simplifying k = -0.6
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