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Simplifying -8(4k + 12) = -7 Reorder the terms: -8(12 + 4k) = -7 (12 * -8 + 4k * -8) = -7 (-96 + -32k) = -7 Solving -96 + -32k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -32k = -7 + 96 Combine like terms: -96 + 96 = 0 0 + -32k = -7 + 96 -32k = -7 + 96 Combine like terms: -7 + 96 = 89 -32k = 89 Divide each side by '-32'. k = -2.78125 Simplifying k = -2.78125
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