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Simplifying (3 + -2k) + -1(2k + 5) = 7 + -3k Remove parenthesis around (3 + -2k) 3 + -2k + -1(2k + 5) = 7 + -3k Reorder the terms: 3 + -2k + -1(5 + 2k) = 7 + -3k 3 + -2k + (5 * -1 + 2k * -1) = 7 + -3k 3 + -2k + (-5 + -2k) = 7 + -3k Reorder the terms: 3 + -5 + -2k + -2k = 7 + -3k Combine like terms: 3 + -5 = -2 -2 + -2k + -2k = 7 + -3k Combine like terms: -2k + -2k = -4k -2 + -4k = 7 + -3k Solving -2 + -4k = 7 + -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. -2 + -4k + 3k = 7 + -3k + 3k Combine like terms: -4k + 3k = -1k -2 + -1k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 -2 + -1k = 7 + 0 -2 + -1k = 7 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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