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Simplifying 1 + -3(-6k + -1) = 8(-8 + -24) Reorder the terms: 1 + -3(-1 + -6k) = 8(-8 + -24) 1 + (-1 * -3 + -6k * -3) = 8(-8 + -24) 1 + (3 + 18k) = 8(-8 + -24) Combine like terms: 1 + 3 = 4 4 + 18k = 8(-8 + -24) Combine like terms: -8 + -24 = -32 4 + 18k = 8(-32) Multiply 8 * -32 4 + 18k = -256 Solving 4 + 18k = -256 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 18k = -256 + -4 Combine like terms: 4 + -4 = 0 0 + 18k = -256 + -4 18k = -256 + -4 Combine like terms: -256 + -4 = -260 18k = -260 Divide each side by '18'. k = -14.44444444 Simplifying k = -14.44444444
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