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