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Simplifying 10x + -2y + 15w + -7 + -5w + 2x = 0 Reorder the terms: -7 + 15w + -5w + 10x + 2x + -2y = 0 Combine like terms: 15w + -5w = 10w -7 + 10w + 10x + 2x + -2y = 0 Combine like terms: 10x + 2x = 12x -7 + 10w + 12x + -2y = 0 Solving -7 + 10w + 12x + -2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 10w + 12x + 7 + -2y = 0 + 7 Reorder the terms: -7 + 7 + 10w + 12x + -2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10w + 12x + -2y = 0 + 7 10w + 12x + -2y = 0 + 7 Combine like terms: 0 + 7 = 7 10w + 12x + -2y = 7 Add '-12x' to each side of the equation. 10w + 12x + -12x + -2y = 7 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + -2y = 7 + -12x 10w + -2y = 7 + -12x Add '2y' to each side of the equation. 10w + -2y + 2y = 7 + -12x + 2y Combine like terms: -2y + 2y = 0 10w + 0 = 7 + -12x + 2y 10w = 7 + -12x + 2y Divide each side by '10'. w = 0.7 + -1.2x + 0.2y Simplifying w = 0.7 + -1.2x + 0.2y
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