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Simplifying 8k + -4 + 6 = 7x + 1 Reorder the terms: -4 + 6 + 8k = 7x + 1 Combine like terms: -4 + 6 = 2 2 + 8k = 7x + 1 Reorder the terms: 2 + 8k = 1 + 7x Solving 2 + 8k = 1 + 7x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8k = 1 + -2 + 7x Combine like terms: 2 + -2 = 0 0 + 8k = 1 + -2 + 7x 8k = 1 + -2 + 7x Combine like terms: 1 + -2 = -1 8k = -1 + 7x Divide each side by '8'. k = -0.125 + 0.875x Simplifying k = -0.125 + 0.875x
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