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Simplifying (2k + 5) + -3(k + -1) = k + -7 Reorder the terms: (5 + 2k) + -3(k + -1) = k + -7 Remove parenthesis around (5 + 2k) 5 + 2k + -3(k + -1) = k + -7 Reorder the terms: 5 + 2k + -3(-1 + k) = k + -7 5 + 2k + (-1 * -3 + k * -3) = k + -7 5 + 2k + (3 + -3k) = k + -7 Reorder the terms: 5 + 3 + 2k + -3k = k + -7 Combine like terms: 5 + 3 = 8 8 + 2k + -3k = k + -7 Combine like terms: 2k + -3k = -1k 8 + -1k = k + -7 Reorder the terms: 8 + -1k = -7 + k Solving 8 + -1k = -7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8 + -1k + -1k = -7 + k + -1k Combine like terms: -1k + -1k = -2k 8 + -2k = -7 + k + -1k Combine like terms: k + -1k = 0 8 + -2k = -7 + 0 8 + -2k = -7 Add '-8' to each side of the equation. 8 + -8 + -2k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = -7 + -8 -2k = -7 + -8 Combine like terms: -7 + -8 = -15 -2k = -15 Divide each side by '-2'. k = 7.5 Simplifying k = 7.5
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