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Simplifying -6k + -13 + 8k = 90 + -7 Reorder the terms: -13 + -6k + 8k = 90 + -7 Combine like terms: -6k + 8k = 2k -13 + 2k = 90 + -7 Combine like terms: 90 + -7 = 83 -13 + 2k = 83 Solving -13 + 2k = 83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2k = 83 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 83 + 13 2k = 83 + 13 Combine like terms: 83 + 13 = 96 2k = 96 Divide each side by '2'. k = 48 Simplifying k = 48
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