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Simplifying 3k + -5 = 7k * 7 Reorder the terms: -5 + 3k = 7k * 7 Reorder the terms for easier multiplication: -5 + 3k = 7 * 7k Multiply 7 * 7 -5 + 3k = 49k Solving -5 + 3k = 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. -5 + 3k + -49k = 49k + -49k Combine like terms: 3k + -49k = -46k -5 + -46k = 49k + -49k Combine like terms: 49k + -49k = 0 -5 + -46k = 0 Add '5' to each side of the equation. -5 + 5 + -46k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -46k = 0 + 5 -46k = 0 + 5 Combine like terms: 0 + 5 = 5 -46k = 5 Divide each side by '-46'. k = -0.1086956522 Simplifying k = -0.1086956522
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