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Simplifying 3k + -4 = 13k + 7 Reorder the terms: -4 + 3k = 13k + 7 Reorder the terms: -4 + 3k = 7 + 13k Solving -4 + 3k = 7 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. -4 + 3k + -13k = 7 + 13k + -13k Combine like terms: 3k + -13k = -10k -4 + -10k = 7 + 13k + -13k Combine like terms: 13k + -13k = 0 -4 + -10k = 7 + 0 -4 + -10k = 7 Add '4' to each side of the equation. -4 + 4 + -10k = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -10k = 7 + 4 -10k = 7 + 4 Combine like terms: 7 + 4 = 11 -10k = 11 Divide each side by '-10'. k = -1.1 Simplifying k = -1.1
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