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Simplifying 5k + 10 = -9 + 7k + 1 Reorder the terms: 10 + 5k = -9 + 7k + 1 Reorder the terms: 10 + 5k = -9 + 1 + 7k Combine like terms: -9 + 1 = -8 10 + 5k = -8 + 7k Solving 10 + 5k = -8 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 10 + 5k + -7k = -8 + 7k + -7k Combine like terms: 5k + -7k = -2k 10 + -2k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + -2k = -8 + 0 10 + -2k = -8 Add '-10' to each side of the equation. 10 + -10 + -2k = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = -8 + -10 -2k = -8 + -10 Combine like terms: -8 + -10 = -18 -2k = -18 Divide each side by '-2'. k = 9 Simplifying k = 9
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