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Simplifying 6k + -1 = 10k + -5 Reorder the terms: -1 + 6k = 10k + -5 Reorder the terms: -1 + 6k = -5 + 10k Solving -1 + 6k = -5 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -1 + 6k + -10k = -5 + 10k + -10k Combine like terms: 6k + -10k = -4k -1 + -4k = -5 + 10k + -10k Combine like terms: 10k + -10k = 0 -1 + -4k = -5 + 0 -1 + -4k = -5 Add '1' to each side of the equation. -1 + 1 + -4k = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -4k = -5 + 1 -4k = -5 + 1 Combine like terms: -5 + 1 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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