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Simplifying 7(2k + -3) = 13 + -3k Reorder the terms: 7(-3 + 2k) = 13 + -3k (-3 * 7 + 2k * 7) = 13 + -3k (-21 + 14k) = 13 + -3k Solving -21 + 14k = 13 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -21 + 14k + 3k = 13 + -3k + 3k Combine like terms: 14k + 3k = 17k -21 + 17k = 13 + -3k + 3k Combine like terms: -3k + 3k = 0 -21 + 17k = 13 + 0 -21 + 17k = 13 Add '21' to each side of the equation. -21 + 21 + 17k = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 17k = 13 + 21 17k = 13 + 21 Combine like terms: 13 + 21 = 34 17k = 34 Divide each side by '17'. k = 2 Simplifying k = 2
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