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Simplifying 5(k + -1) + -3(k + 2) = -13 Reorder the terms: 5(-1 + k) + -3(k + 2) = -13 (-1 * 5 + k * 5) + -3(k + 2) = -13 (-5 + 5k) + -3(k + 2) = -13 Reorder the terms: -5 + 5k + -3(2 + k) = -13 -5 + 5k + (2 * -3 + k * -3) = -13 -5 + 5k + (-6 + -3k) = -13 Reorder the terms: -5 + -6 + 5k + -3k = -13 Combine like terms: -5 + -6 = -11 -11 + 5k + -3k = -13 Combine like terms: 5k + -3k = 2k -11 + 2k = -13 Solving -11 + 2k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2k = -13 + 11 Combine like terms: -11 + 11 = 0 0 + 2k = -13 + 11 2k = -13 + 11 Combine like terms: -13 + 11 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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