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Simplifying 13 + -3k = -1(k + -3) Reorder the terms: 13 + -3k = -1(-3 + k) 13 + -3k = (-3 * -1 + k * -1) 13 + -3k = (3 + -1k) Solving 13 + -3k = 3 + -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. 13 + -3k + k = 3 + -1k + k Combine like terms: -3k + k = -2k 13 + -2k = 3 + -1k + k Combine like terms: -1k + k = 0 13 + -2k = 3 + 0 13 + -2k = 3 Add '-13' to each side of the equation. 13 + -13 + -2k = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = 3 + -13 -2k = 3 + -13 Combine like terms: 3 + -13 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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