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Simplifying 34k + 14 = 10k + -7 Reorder the terms: 14 + 34k = 10k + -7 Reorder the terms: 14 + 34k = -7 + 10k Solving 14 + 34k = -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. 14 + 34k + -10k = -7 + 10k + -10k Combine like terms: 34k + -10k = 24k 14 + 24k = -7 + 10k + -10k Combine like terms: 10k + -10k = 0 14 + 24k = -7 + 0 14 + 24k = -7 Add '-14' to each side of the equation. 14 + -14 + 24k = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 24k = -7 + -14 24k = -7 + -14 Combine like terms: -7 + -14 = -21 24k = -21 Divide each side by '24'. k = -0.875 Simplifying k = -0.875
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