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Simplifying -7k + -2(8 + 3k) = -107 -7k + (8 * -2 + 3k * -2) = -107 -7k + (-16 + -6k) = -107 Reorder the terms: -16 + -7k + -6k = -107 Combine like terms: -7k + -6k = -13k -16 + -13k = -107 Solving -16 + -13k = -107 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -13k = -107 + 16 Combine like terms: -16 + 16 = 0 0 + -13k = -107 + 16 -13k = -107 + 16 Combine like terms: -107 + 16 = -91 -13k = -91 Divide each side by '-13'. k = 7 Simplifying k = 7
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