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Simplifying 7(6k + -8) + 1 = -391 Reorder the terms: 7(-8 + 6k) + 1 = -391 (-8 * 7 + 6k * 7) + 1 = -391 (-56 + 42k) + 1 = -391 Reorder the terms: -56 + 1 + 42k = -391 Combine like terms: -56 + 1 = -55 -55 + 42k = -391 Solving -55 + 42k = -391 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 + 42k = -391 + 55 Combine like terms: -55 + 55 = 0 0 + 42k = -391 + 55 42k = -391 + 55 Combine like terms: -391 + 55 = -336 42k = -336 Divide each side by '42'. k = -8 Simplifying k = -8
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