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Simplifying 3x + 4 + -1w = 5w + -2(w + -2) Reorder the terms: 4 + -1w + 3x = 5w + -2(w + -2) Reorder the terms: 4 + -1w + 3x = 5w + -2(-2 + w) 4 + -1w + 3x = 5w + (-2 * -2 + w * -2) 4 + -1w + 3x = 5w + (4 + -2w) Reorder the terms: 4 + -1w + 3x = 4 + 5w + -2w Combine like terms: 5w + -2w = 3w 4 + -1w + 3x = 4 + 3w Add '-4' to each side of the equation. 4 + -1w + -4 + 3x = 4 + -4 + 3w Reorder the terms: 4 + -4 + -1w + 3x = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 0 + -1w + 3x = 4 + -4 + 3w -1w + 3x = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 -1w + 3x = 0 + 3w -1w + 3x = 3w Solving -1w + 3x = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -1w + -3w + 3x = 3w + -3w Combine like terms: -1w + -3w = -4w -4w + 3x = 3w + -3w Combine like terms: 3w + -3w = 0 -4w + 3x = 0 Add '-3x' to each side of the equation. -4w + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -4w + 0 = 0 + -3x -4w = 0 + -3x Remove the zero: -4w = -3x Divide each side by '-4'. w = 0.75x Simplifying w = 0.75x
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