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Simplifying -8 + -2k = -8(1 + -7k) + k -8 + -2k = (1 * -8 + -7k * -8) + k -8 + -2k = (-8 + 56k) + k Combine like terms: 56k + k = 57k -8 + -2k = -8 + 57k Add '8' to each side of the equation. -8 + 8 + -2k = -8 + 8 + 57k Combine like terms: -8 + 8 = 0 0 + -2k = -8 + 8 + 57k -2k = -8 + 8 + 57k Combine like terms: -8 + 8 = 0 -2k = 0 + 57k -2k = 57k Solving -2k = 57k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-57k' to each side of the equation. -2k + -57k = 57k + -57k Combine like terms: -2k + -57k = -59k -59k = 57k + -57k Combine like terms: 57k + -57k = 0 -59k = 0 Divide each side by '-59'. k = 0 Simplifying k = 0
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