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Simplifying 5k + 10 = 10k + -7 Reorder the terms: 10 + 5k = 10k + -7 Reorder the terms: 10 + 5k = -7 + 10k Solving 10 + 5k = -7 + 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. 10 + 5k + -10k = -7 + 10k + -10k Combine like terms: 5k + -10k = -5k 10 + -5k = -7 + 10k + -10k Combine like terms: 10k + -10k = 0 10 + -5k = -7 + 0 10 + -5k = -7 Add '-10' to each side of the equation. 10 + -10 + -5k = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -7 + -10 -5k = -7 + -10 Combine like terms: -7 + -10 = -17 -5k = -17 Divide each side by '-5'. k = 3.4 Simplifying k = 3.4
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