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Simplifying -4 + -1(1 + 4k) = -37 + -8k -4 + (1 * -1 + 4k * -1) = -37 + -8k -4 + (-1 + -4k) = -37 + -8k Combine like terms: -4 + -1 = -5 -5 + -4k = -37 + -8k Solving -5 + -4k = -37 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -5 + -4k + 8k = -37 + -8k + 8k Combine like terms: -4k + 8k = 4k -5 + 4k = -37 + -8k + 8k Combine like terms: -8k + 8k = 0 -5 + 4k = -37 + 0 -5 + 4k = -37 Add '5' to each side of the equation. -5 + 5 + 4k = -37 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = -37 + 5 4k = -37 + 5 Combine like terms: -37 + 5 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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