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Simplifying 2k + -5 + -1(k + -3) = 7 Reorder the terms: 2k + -5 + -1(-3 + k) = 7 2k + -5 + (-3 * -1 + k * -1) = 7 2k + -5 + (3 + -1k) = 7 Reorder the terms: -5 + 3 + 2k + -1k = 7 Combine like terms: -5 + 3 = -2 -2 + 2k + -1k = 7 Combine like terms: 2k + -1k = 1k -2 + 1k = 7 Solving -2 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1k = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 7 + 2 1k = 7 + 2 Combine like terms: 7 + 2 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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