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Simplifying k + -5 = 14k + -1 Reorder the terms: -5 + k = 14k + -1 Reorder the terms: -5 + k = -1 + 14k Solving -5 + k = -1 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -5 + k + -14k = -1 + 14k + -14k Combine like terms: k + -14k = -13k -5 + -13k = -1 + 14k + -14k Combine like terms: 14k + -14k = 0 -5 + -13k = -1 + 0 -5 + -13k = -1 Add '5' to each side of the equation. -5 + 5 + -13k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -13k = -1 + 5 -13k = -1 + 5 Combine like terms: -1 + 5 = 4 -13k = 4 Divide each side by '-13'. k = -0.3076923077 Simplifying k = -0.3076923077
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