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Simplifying 13 + 3k = -7(3 + -6k) + -5 13 + 3k = (3 * -7 + -6k * -7) + -5 13 + 3k = (-21 + 42k) + -5 Reorder the terms: 13 + 3k = -21 + -5 + 42k Combine like terms: -21 + -5 = -26 13 + 3k = -26 + 42k Solving 13 + 3k = -26 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 13 + 3k + -42k = -26 + 42k + -42k Combine like terms: 3k + -42k = -39k 13 + -39k = -26 + 42k + -42k Combine like terms: 42k + -42k = 0 13 + -39k = -26 + 0 13 + -39k = -26 Add '-13' to each side of the equation. 13 + -13 + -39k = -26 + -13 Combine like terms: 13 + -13 = 0 0 + -39k = -26 + -13 -39k = -26 + -13 Combine like terms: -26 + -13 = -39 -39k = -39 Divide each side by '-39'. k = 1 Simplifying k = 1
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