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Simplifying -200 = 5k + -4(8k + -4) Reorder the terms: -200 = 5k + -4(-4 + 8k) -200 = 5k + (-4 * -4 + 8k * -4) -200 = 5k + (16 + -32k) Reorder the terms: -200 = 16 + 5k + -32k Combine like terms: 5k + -32k = -27k -200 = 16 + -27k Solving -200 = 16 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. -200 + 27k = 16 + -27k + 27k Combine like terms: -27k + 27k = 0 -200 + 27k = 16 + 0 -200 + 27k = 16 Add '200' to each side of the equation. -200 + 200 + 27k = 16 + 200 Combine like terms: -200 + 200 = 0 0 + 27k = 16 + 200 27k = 16 + 200 Combine like terms: 16 + 200 = 216 27k = 216 Divide each side by '27'. k = 8 Simplifying k = 8
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