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Simplifying 7 + 6(-6k + 8) = 0 Reorder the terms: 7 + 6(8 + -6k) = 0 7 + (8 * 6 + -6k * 6) = 0 7 + (48 + -36k) = 0 Combine like terms: 7 + 48 = 55 55 + -36k = 0 Solving 55 + -36k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -36k = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -36k = 0 + -55 -36k = 0 + -55 Combine like terms: 0 + -55 = -55 -36k = -55 Divide each side by '-36'. k = 1.527777778 Simplifying k = 1.527777778
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