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Simplifying -6k + -7 + 10 = 30 Reorder the terms: -7 + 10 + -6k = 30 Combine like terms: -7 + 10 = 3 3 + -6k = 30 Solving 3 + -6k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6k = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -6k = 30 + -3 -6k = 30 + -3 Combine like terms: 30 + -3 = 27 -6k = 27 Divide each side by '-6'. k = -4.5 Simplifying k = -4.5
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