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Simplifying 8(-6 + k) = -1(-1k + -1) (-6 * 8 + k * 8) = -1(-1k + -1) (-48 + 8k) = -1(-1k + -1) Reorder the terms: -48 + 8k = -1(-1 + -1k) -48 + 8k = (-1 * -1 + -1k * -1) -48 + 8k = (1 + 1k) Solving -48 + 8k = 1 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -48 + 8k + -1k = 1 + 1k + -1k Combine like terms: 8k + -1k = 7k -48 + 7k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -48 + 7k = 1 + 0 -48 + 7k = 1 Add '48' to each side of the equation. -48 + 48 + 7k = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 7k = 1 + 48 7k = 1 + 48 Combine like terms: 1 + 48 = 49 7k = 49 Divide each side by '7'. k = 7 Simplifying k = 7
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