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Simplifying -7(2k + -6) = -32 + -5k Reorder the terms: -7(-6 + 2k) = -32 + -5k (-6 * -7 + 2k * -7) = -32 + -5k (42 + -14k) = -32 + -5k Solving 42 + -14k = -32 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 42 + -14k + 5k = -32 + -5k + 5k Combine like terms: -14k + 5k = -9k 42 + -9k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 42 + -9k = -32 + 0 42 + -9k = -32 Add '-42' to each side of the equation. 42 + -42 + -9k = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -9k = -32 + -42 -9k = -32 + -42 Combine like terms: -32 + -42 = -74 -9k = -74 Divide each side by '-9'. k = 8.222222222 Simplifying k = 8.222222222
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