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Simplifying -45 = 3 + 6k Solving -45 = 3 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -45 + -6k = 3 + 6k + -6k Combine like terms: 6k + -6k = 0 -45 + -6k = 3 + 0 -45 + -6k = 3 Add '45' to each side of the equation. -45 + 45 + -6k = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -6k = 3 + 45 -6k = 3 + 45 Combine like terms: 3 + 45 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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