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Simplifying 393 = 7(7 + -6k) + 8 393 = (7 * 7 + -6k * 7) + 8 393 = (49 + -42k) + 8 Reorder the terms: 393 = 49 + 8 + -42k Combine like terms: 49 + 8 = 57 393 = 57 + -42k Solving 393 = 57 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 393 + 42k = 57 + -42k + 42k Combine like terms: -42k + 42k = 0 393 + 42k = 57 + 0 393 + 42k = 57 Add '-393' to each side of the equation. 393 + -393 + 42k = 57 + -393 Combine like terms: 393 + -393 = 0 0 + 42k = 57 + -393 42k = 57 + -393 Combine like terms: 57 + -393 = -336 42k = -336 Divide each side by '42'. k = -8 Simplifying k = -8
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