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Simplifying -200 = -8(4k + -7) Reorder the terms: -200 = -8(-7 + 4k) -200 = (-7 * -8 + 4k * -8) -200 = (56 + -32k) Solving -200 = 56 + -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. -200 + 32k = 56 + -32k + 32k Combine like terms: -32k + 32k = 0 -200 + 32k = 56 + 0 -200 + 32k = 56 Add '200' to each side of the equation. -200 + 200 + 32k = 56 + 200 Combine like terms: -200 + 200 = 0 0 + 32k = 56 + 200 32k = 56 + 200 Combine like terms: 56 + 200 = 256 32k = 256 Divide each side by '32'. k = 8 Simplifying k = 8
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