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Simplifying -10 + -3k = -7k + 6(7 + -8k) -10 + -3k = -7k + (7 * 6 + -8k * 6) -10 + -3k = -7k + (42 + -48k) Reorder the terms: -10 + -3k = 42 + -7k + -48k Combine like terms: -7k + -48k = -55k -10 + -3k = 42 + -55k Solving -10 + -3k = 42 + -55k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '55k' to each side of the equation. -10 + -3k + 55k = 42 + -55k + 55k Combine like terms: -3k + 55k = 52k -10 + 52k = 42 + -55k + 55k Combine like terms: -55k + 55k = 0 -10 + 52k = 42 + 0 -10 + 52k = 42 Add '10' to each side of the equation. -10 + 10 + 52k = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 52k = 42 + 10 52k = 42 + 10 Combine like terms: 42 + 10 = 52 52k = 52 Divide each side by '52'. k = 1 Simplifying k = 1
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