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Simplifying -6k + -7(k + 7) = -153 Reorder the terms: -6k + -7(7 + k) = -153 -6k + (7 * -7 + k * -7) = -153 -6k + (-49 + -7k) = -153 Reorder the terms: -49 + -6k + -7k = -153 Combine like terms: -6k + -7k = -13k -49 + -13k = -153 Solving -49 + -13k = -153 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -13k = -153 + 49 Combine like terms: -49 + 49 = 0 0 + -13k = -153 + 49 -13k = -153 + 49 Combine like terms: -153 + 49 = -104 -13k = -104 Divide each side by '-13'. k = 8 Simplifying k = 8
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