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Simplifying 8x + -5y + -16 + -4w + 7w + 3y + 2x + -5 = 0 Reorder the terms: -16 + -5 + -4w + 7w + 8x + 2x + -5y + 3y = 0 Combine like terms: -16 + -5 = -21 -21 + -4w + 7w + 8x + 2x + -5y + 3y = 0 Combine like terms: -4w + 7w = 3w -21 + 3w + 8x + 2x + -5y + 3y = 0 Combine like terms: 8x + 2x = 10x -21 + 3w + 10x + -5y + 3y = 0 Combine like terms: -5y + 3y = -2y -21 + 3w + 10x + -2y = 0 Solving -21 + 3w + 10x + -2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 3w + 10x + 21 + -2y = 0 + 21 Reorder the terms: -21 + 21 + 3w + 10x + -2y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3w + 10x + -2y = 0 + 21 3w + 10x + -2y = 0 + 21 Combine like terms: 0 + 21 = 21 3w + 10x + -2y = 21 Add '-10x' to each side of the equation. 3w + 10x + -10x + -2y = 21 + -10x Combine like terms: 10x + -10x = 0 3w + 0 + -2y = 21 + -10x 3w + -2y = 21 + -10x Add '2y' to each side of the equation. 3w + -2y + 2y = 21 + -10x + 2y Combine like terms: -2y + 2y = 0 3w + 0 = 21 + -10x + 2y 3w = 21 + -10x + 2y Divide each side by '3'. w = 7 + -3.333333333x + 0.6666666667y Simplifying w = 7 + -3.333333333x + 0.6666666667y
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