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Simplifying -7(5k + 5) + 8(1 + -4k) = -27 Reorder the terms: -7(5 + 5k) + 8(1 + -4k) = -27 (5 * -7 + 5k * -7) + 8(1 + -4k) = -27 (-35 + -35k) + 8(1 + -4k) = -27 -35 + -35k + (1 * 8 + -4k * 8) = -27 -35 + -35k + (8 + -32k) = -27 Reorder the terms: -35 + 8 + -35k + -32k = -27 Combine like terms: -35 + 8 = -27 -27 + -35k + -32k = -27 Combine like terms: -35k + -32k = -67k -27 + -67k = -27 Add '27' to each side of the equation. -27 + 27 + -67k = -27 + 27 Combine like terms: -27 + 27 = 0 0 + -67k = -27 + 27 -67k = -27 + 27 Combine like terms: -27 + 27 = 0 -67k = 0 Solving -67k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-67'. k = 0 Simplifying k = 0
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