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Simplifying 4 + 2k = -7 + -9k Solving 4 + 2k = -7 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 4 + 2k + 9k = -7 + -9k + 9k Combine like terms: 2k + 9k = 11k 4 + 11k = -7 + -9k + 9k Combine like terms: -9k + 9k = 0 4 + 11k = -7 + 0 4 + 11k = -7 Add '-4' to each side of the equation. 4 + -4 + 11k = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 11k = -7 + -4 11k = -7 + -4 Combine like terms: -7 + -4 = -11 11k = -11 Divide each side by '11'. k = -1 Simplifying k = -1
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