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Simplifying 7 = (k + -3) + 2 Reorder the terms: 7 = (-3 + k) + 2 Remove parenthesis around (-3 + k) 7 = -3 + k + 2 Reorder the terms: 7 = -3 + 2 + k Combine like terms: -3 + 2 = -1 7 = -1 + k Solving 7 = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7 + -1k = -1 + k + -1k Combine like terms: k + -1k = 0 7 + -1k = -1 + 0 7 + -1k = -1 Add '-7' to each side of the equation. 7 + -7 + -1k = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = -1 + -7 -1k = -1 + -7 Combine like terms: -1 + -7 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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