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Simplifying 4(k + -4) = -40 + -4k Reorder the terms: 4(-4 + k) = -40 + -4k (-4 * 4 + k * 4) = -40 + -4k (-16 + 4k) = -40 + -4k Solving -16 + 4k = -40 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -16 + 4k + 4k = -40 + -4k + 4k Combine like terms: 4k + 4k = 8k -16 + 8k = -40 + -4k + 4k Combine like terms: -4k + 4k = 0 -16 + 8k = -40 + 0 -16 + 8k = -40 Add '16' to each side of the equation. -16 + 16 + 8k = -40 + 16 Combine like terms: -16 + 16 = 0 0 + 8k = -40 + 16 8k = -40 + 16 Combine like terms: -40 + 16 = -24 8k = -24 Divide each side by '8'. k = -3 Simplifying k = -3
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