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Simplifying -263 = -8(1 + 6k) + -3k -263 = (1 * -8 + 6k * -8) + -3k -263 = (-8 + -48k) + -3k Combine like terms: -48k + -3k = -51k -263 = -8 + -51k Solving -263 = -8 + -51k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '51k' to each side of the equation. -263 + 51k = -8 + -51k + 51k Combine like terms: -51k + 51k = 0 -263 + 51k = -8 + 0 -263 + 51k = -8 Add '263' to each side of the equation. -263 + 263 + 51k = -8 + 263 Combine like terms: -263 + 263 = 0 0 + 51k = -8 + 263 51k = -8 + 263 Combine like terms: -8 + 263 = 255 51k = 255 Divide each side by '51'. k = 5 Simplifying k = 5
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