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Simplifying -1 = -7(-7 + -6k) + -8 -1 = (-7 * -7 + -6k * -7) + -8 -1 = (49 + 42k) + -8 Reorder the terms: -1 = 49 + -8 + 42k Combine like terms: 49 + -8 = 41 -1 = 41 + 42k Solving -1 = 41 + 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. -1 + -42k = 41 + 42k + -42k Combine like terms: 42k + -42k = 0 -1 + -42k = 41 + 0 -1 + -42k = 41 Add '1' to each side of the equation. -1 + 1 + -42k = 41 + 1 Combine like terms: -1 + 1 = 0 0 + -42k = 41 + 1 -42k = 41 + 1 Combine like terms: 41 + 1 = 42 -42k = 42 Divide each side by '-42'. k = -1 Simplifying k = -1
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