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Simplifying k + 77 = -2k + -1(16 + -89) Reorder the terms: 77 + k = -2k + -1(16 + -89) Combine like terms: 16 + -89 = -73 77 + k = -2k + -1(-73) Multiply -1 * -73 77 + k = -2k + 73 Reorder the terms: 77 + k = 73 + -2k Solving 77 + k = 73 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 77 + k + 2k = 73 + -2k + 2k Combine like terms: k + 2k = 3k 77 + 3k = 73 + -2k + 2k Combine like terms: -2k + 2k = 0 77 + 3k = 73 + 0 77 + 3k = 73 Add '-77' to each side of the equation. 77 + -77 + 3k = 73 + -77 Combine like terms: 77 + -77 = 0 0 + 3k = 73 + -77 3k = 73 + -77 Combine like terms: 73 + -77 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333
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