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Simplifying 7k + 8 * 7k + -8 = 49k + -64 Multiply 8 * 7 7k + 56k + -8 = 49k + -64 Reorder the terms: -8 + 7k + 56k = 49k + -64 Combine like terms: 7k + 56k = 63k -8 + 63k = 49k + -64 Reorder the terms: -8 + 63k = -64 + 49k Solving -8 + 63k = -64 + 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. -8 + 63k + -49k = -64 + 49k + -49k Combine like terms: 63k + -49k = 14k -8 + 14k = -64 + 49k + -49k Combine like terms: 49k + -49k = 0 -8 + 14k = -64 + 0 -8 + 14k = -64 Add '8' to each side of the equation. -8 + 8 + 14k = -64 + 8 Combine like terms: -8 + 8 = 0 0 + 14k = -64 + 8 14k = -64 + 8 Combine like terms: -64 + 8 = -56 14k = -56 Divide each side by '14'. k = -4 Simplifying k = -4
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