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Simplifying (7X + -8W) + (5X + 6Y) + (3Y + 5W) = 0 Reorder the terms: (-8W + 7X) + (5X + 6Y) + (3Y + 5W) = 0 Remove parenthesis around (-8W + 7X) -8W + 7X + (5X + 6Y) + (3Y + 5W) = 0 Remove parenthesis around (5X + 6Y) -8W + 7X + 5X + 6Y + (3Y + 5W) = 0 Reorder the terms: -8W + 7X + 5X + 6Y + (5W + 3Y) = 0 Remove parenthesis around (5W + 3Y) -8W + 7X + 5X + 6Y + 5W + 3Y = 0 Reorder the terms: -8W + 5W + 7X + 5X + 6Y + 3Y = 0 Combine like terms: -8W + 5W = -3W -3W + 7X + 5X + 6Y + 3Y = 0 Combine like terms: 7X + 5X = 12X -3W + 12X + 6Y + 3Y = 0 Combine like terms: 6Y + 3Y = 9Y -3W + 12X + 9Y = 0 Solving -3W + 12X + 9Y = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-12X' to each side of the equation. -3W + 12X + -12X + 9Y = 0 + -12X Combine like terms: 12X + -12X = 0 -3W + 0 + 9Y = 0 + -12X -3W + 9Y = 0 + -12X Remove the zero: -3W + 9Y = -12X Add '-9Y' to each side of the equation. -3W + 9Y + -9Y = -12X + -9Y Combine like terms: 9Y + -9Y = 0 -3W + 0 = -12X + -9Y -3W = -12X + -9Y Divide each side by '-3'. W = 4X + 3Y Simplifying W = 4X + 3Y
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