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Simplifying -1k + 23 = -8(1 + 4k) Reorder the terms: 23 + -1k = -8(1 + 4k) 23 + -1k = (1 * -8 + 4k * -8) 23 + -1k = (-8 + -32k) Solving 23 + -1k = -8 + -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. 23 + -1k + 32k = -8 + -32k + 32k Combine like terms: -1k + 32k = 31k 23 + 31k = -8 + -32k + 32k Combine like terms: -32k + 32k = 0 23 + 31k = -8 + 0 23 + 31k = -8 Add '-23' to each side of the equation. 23 + -23 + 31k = -8 + -23 Combine like terms: 23 + -23 = 0 0 + 31k = -8 + -23 31k = -8 + -23 Combine like terms: -8 + -23 = -31 31k = -31 Divide each side by '31'. k = -1 Simplifying k = -1
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