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Simplifying -15 = 1 + 5k + 3k Combine like terms: 5k + 3k = 8k -15 = 1 + 8k Solving -15 = 1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -15 + -8k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 -15 + -8k = 1 + 0 -15 + -8k = 1 Add '15' to each side of the equation. -15 + 15 + -8k = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -8k = 1 + 15 -8k = 1 + 15 Combine like terms: 1 + 15 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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