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Simplifying -5k + -10 = 5 + -13k Reorder the terms: -10 + -5k = 5 + -13k Solving -10 + -5k = 5 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -10 + -5k + 13k = 5 + -13k + 13k Combine like terms: -5k + 13k = 8k -10 + 8k = 5 + -13k + 13k Combine like terms: -13k + 13k = 0 -10 + 8k = 5 + 0 -10 + 8k = 5 Add '10' to each side of the equation. -10 + 10 + 8k = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 8k = 5 + 10 8k = 5 + 10 Combine like terms: 5 + 10 = 15 8k = 15 Divide each side by '8'. k = 1.875 Simplifying k = 1.875
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