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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 = -16 4 + 18k = 8(-16) Multiply 8 * -16 4 + 18k = -128 Solving 4 + 18k = -128 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 = -128 + -4 Combine like terms: 4 + -4 = 0 0 + 18k = -128 + -4 18k = -128 + -4 Combine like terms: -128 + -4 = -132 18k = -132 Divide each side by '18'. k = -7.333333333 Simplifying k = -7.333333333
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