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Simplifying 32 = 4 + 6(k + -8) Reorder the terms: 32 = 4 + 6(-8 + k) 32 = 4 + (-8 * 6 + k * 6) 32 = 4 + (-48 + 6k) Combine like terms: 4 + -48 = -44 32 = -44 + 6k Solving 32 = -44 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 32 + -6k = -44 + 6k + -6k Combine like terms: 6k + -6k = 0 32 + -6k = -44 + 0 32 + -6k = -44 Add '-32' to each side of the equation. 32 + -32 + -6k = -44 + -32 Combine like terms: 32 + -32 = 0 0 + -6k = -44 + -32 -6k = -44 + -32 Combine like terms: -44 + -32 = -76 -6k = -76 Divide each side by '-6'. k = 12.66666667 Simplifying k = 12.66666667
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