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Simplifying -7x + 14 + 8k = 5 + x + 9 Reorder the terms: 14 + 8k + -7x = 5 + x + 9 Reorder the terms: 14 + 8k + -7x = 5 + 9 + x Combine like terms: 5 + 9 = 14 14 + 8k + -7x = 14 + x Add '-14' to each side of the equation. 14 + 8k + -14 + -7x = 14 + -14 + x Reorder the terms: 14 + -14 + 8k + -7x = 14 + -14 + x Combine like terms: 14 + -14 = 0 0 + 8k + -7x = 14 + -14 + x 8k + -7x = 14 + -14 + x Combine like terms: 14 + -14 = 0 8k + -7x = 0 + x 8k + -7x = x Solving 8k + -7x = x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7x' to each side of the equation. 8k + -7x + 7x = x + 7x Combine like terms: -7x + 7x = 0 8k + 0 = x + 7x 8k = x + 7x Combine like terms: x + 7x = 8x 8k = 8x Divide each side by '8'. k = x Simplifying k = x
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