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Simplifying 3x + -2 + 2y + 1 + x + -1w + 1 + 3 + -4w = 22 Reorder the terms: -2 + 1 + 1 + 3 + -1w + -4w + 3x + x + 2y = 22 Combine like terms: -2 + 1 = -1 -1 + 1 + 3 + -1w + -4w + 3x + x + 2y = 22 Combine like terms: -1 + 1 = 0 0 + 3 + -1w + -4w + 3x + x + 2y = 22 3 + -1w + -4w + 3x + x + 2y = 22 Combine like terms: -1w + -4w = -5w 3 + -5w + 3x + x + 2y = 22 Combine like terms: 3x + x = 4x 3 + -5w + 4x + 2y = 22 Solving 3 + -5w + 4x + 2y = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -5w + 4x + -3 + 2y = 22 + -3 Reorder the terms: 3 + -3 + -5w + 4x + 2y = 22 + -3 Combine like terms: 3 + -3 = 0 0 + -5w + 4x + 2y = 22 + -3 -5w + 4x + 2y = 22 + -3 Combine like terms: 22 + -3 = 19 -5w + 4x + 2y = 19 Add '-4x' to each side of the equation. -5w + 4x + -4x + 2y = 19 + -4x Combine like terms: 4x + -4x = 0 -5w + 0 + 2y = 19 + -4x -5w + 2y = 19 + -4x Add '-2y' to each side of the equation. -5w + 2y + -2y = 19 + -4x + -2y Combine like terms: 2y + -2y = 0 -5w + 0 = 19 + -4x + -2y -5w = 19 + -4x + -2y Divide each side by '-5'. w = -3.8 + 0.8x + 0.4y Simplifying w = -3.8 + 0.8x + 0.4y
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