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Simplifying 4x + -6 + -1w + -2 = 10w + -3w Reorder the terms: -6 + -2 + -1w + 4x = 10w + -3w Combine like terms: -6 + -2 = -8 -8 + -1w + 4x = 10w + -3w Combine like terms: 10w + -3w = 7w -8 + -1w + 4x = 7w Solving -8 + -1w + 4x = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -8 + -1w + -7w + 4x = 7w + -7w Combine like terms: -1w + -7w = -8w -8 + -8w + 4x = 7w + -7w Combine like terms: 7w + -7w = 0 -8 + -8w + 4x = 0 Add '8' to each side of the equation. -8 + -8w + 8 + 4x = 0 + 8 Reorder the terms: -8 + 8 + -8w + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8w + 4x = 0 + 8 -8w + 4x = 0 + 8 Combine like terms: 0 + 8 = 8 -8w + 4x = 8 Add '-4x' to each side of the equation. -8w + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 -8w + 0 = 8 + -4x -8w = 8 + -4x Divide each side by '-8'. w = -1 + 0.5x Simplifying w = -1 + 0.5x
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