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Simplifying -8w + -1(3x + 6) = 4 + -1x Reorder the terms: -8w + -1(6 + 3x) = 4 + -1x -8w + (6 * -1 + 3x * -1) = 4 + -1x -8w + (-6 + -3x) = 4 + -1x Reorder the terms: -6 + -8w + -3x = 4 + -1x Solving -6 + -8w + -3x = 4 + -1x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -8w + 6 + -3x = 4 + 6 + -1x Reorder the terms: -6 + 6 + -8w + -3x = 4 + 6 + -1x Combine like terms: -6 + 6 = 0 0 + -8w + -3x = 4 + 6 + -1x -8w + -3x = 4 + 6 + -1x Combine like terms: 4 + 6 = 10 -8w + -3x = 10 + -1x Add '3x' to each side of the equation. -8w + -3x + 3x = 10 + -1x + 3x Combine like terms: -3x + 3x = 0 -8w + 0 = 10 + -1x + 3x -8w = 10 + -1x + 3x Combine like terms: -1x + 3x = 2x -8w = 10 + 2x Divide each side by '-8'. w = -1.25 + -0.25x Simplifying w = -1.25 + -0.25x
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