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Simplifying -4 + -5k = -7 + -2k Solving -4 + -5k = -7 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -4 + -5k + 2k = -7 + -2k + 2k Combine like terms: -5k + 2k = -3k -4 + -3k = -7 + -2k + 2k Combine like terms: -2k + 2k = 0 -4 + -3k = -7 + 0 -4 + -3k = -7 Add '4' to each side of the equation. -4 + 4 + -3k = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = -7 + 4 -3k = -7 + 4 Combine like terms: -7 + 4 = -3 -3k = -3 Divide each side by '-3'. k = 1 Simplifying k = 1
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