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Simplifying 7x + -1(3x + 8) = 4x + -8k Reorder the terms: 7x + -1(8 + 3x) = 4x + -8k 7x + (8 * -1 + 3x * -1) = 4x + -8k 7x + (-8 + -3x) = 4x + -8k Reorder the terms: -8 + 7x + -3x = 4x + -8k Combine like terms: 7x + -3x = 4x -8 + 4x = 4x + -8k Reorder the terms: -8 + 4x = -8k + 4x Add '-4x' to each side of the equation. -8 + 4x + -4x = -8k + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 0 = -8k + 4x + -4x -8 = -8k + 4x + -4x Combine like terms: 4x + -4x = 0 -8 = -8k + 0 -8 = -8k Solving -8 = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -8 + 8k = -8k + 8k Combine like terms: -8k + 8k = 0 -8 + 8k = 0 Add '8' to each side of the equation. -8 + 8 + 8k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8k = 0 + 8 8k = 0 + 8 Combine like terms: 0 + 8 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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