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Simplifying 6k + -25 = 7 + -2k + 25 Reorder the terms: -25 + 6k = 7 + -2k + 25 Reorder the terms: -25 + 6k = 7 + 25 + -2k Combine like terms: 7 + 25 = 32 -25 + 6k = 32 + -2k Solving -25 + 6k = 32 + -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. -25 + 6k + 2k = 32 + -2k + 2k Combine like terms: 6k + 2k = 8k -25 + 8k = 32 + -2k + 2k Combine like terms: -2k + 2k = 0 -25 + 8k = 32 + 0 -25 + 8k = 32 Add '25' to each side of the equation. -25 + 25 + 8k = 32 + 25 Combine like terms: -25 + 25 = 0 0 + 8k = 32 + 25 8k = 32 + 25 Combine like terms: 32 + 25 = 57 8k = 57 Divide each side by '8'. k = 7.125 Simplifying k = 7.125
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