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Simplifying 3k + -12k + -4 = k + 3 Reorder the terms: -4 + 3k + -12k = k + 3 Combine like terms: 3k + -12k = -9k -4 + -9k = k + 3 Reorder the terms: -4 + -9k = 3 + k Solving -4 + -9k = 3 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4 + -9k + -1k = 3 + k + -1k Combine like terms: -9k + -1k = -10k -4 + -10k = 3 + k + -1k Combine like terms: k + -1k = 0 -4 + -10k = 3 + 0 -4 + -10k = 3 Add '4' to each side of the equation. -4 + 4 + -10k = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -10k = 3 + 4 -10k = 3 + 4 Combine like terms: 3 + 4 = 7 -10k = 7 Divide each side by '-10'. k = -0.7 Simplifying k = -0.7
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