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Simplifying 3 + -4k = 10k + 10 Reorder the terms: 3 + -4k = 10 + 10k Solving 3 + -4k = 10 + 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. 3 + -4k + -10k = 10 + 10k + -10k Combine like terms: -4k + -10k = -14k 3 + -14k = 10 + 10k + -10k Combine like terms: 10k + -10k = 0 3 + -14k = 10 + 0 3 + -14k = 10 Add '-3' to each side of the equation. 3 + -3 + -14k = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -14k = 10 + -3 -14k = 10 + -3 Combine like terms: 10 + -3 = 7 -14k = 7 Divide each side by '-14'. k = -0.5 Simplifying k = -0.5
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