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Simplifying 28 + -10k + 4 = 7k + -70 Reorder the terms: 28 + 4 + -10k = 7k + -70 Combine like terms: 28 + 4 = 32 32 + -10k = 7k + -70 Reorder the terms: 32 + -10k = -70 + 7k Solving 32 + -10k = -70 + 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. 32 + -10k + -7k = -70 + 7k + -7k Combine like terms: -10k + -7k = -17k 32 + -17k = -70 + 7k + -7k Combine like terms: 7k + -7k = 0 32 + -17k = -70 + 0 32 + -17k = -70 Add '-32' to each side of the equation. 32 + -32 + -17k = -70 + -32 Combine like terms: 32 + -32 = 0 0 + -17k = -70 + -32 -17k = -70 + -32 Combine like terms: -70 + -32 = -102 -17k = -102 Divide each side by '-17'. k = 6 Simplifying k = 6
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