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Simplifying (4W + 6) + -2W = (W + -6) + 10 + 14 Reorder the terms: (6 + 4W) + -2W = (W + -6) + 10 + 14 Remove parenthesis around (6 + 4W) 6 + 4W + -2W = (W + -6) + 10 + 14 Combine like terms: 4W + -2W = 2W 6 + 2W = (W + -6) + 10 + 14 Reorder the terms: 6 + 2W = (-6 + W) + 10 + 14 Remove parenthesis around (-6 + W) 6 + 2W = -6 + W + 10 + 14 Reorder the terms: 6 + 2W = -6 + 10 + 14 + W Combine like terms: -6 + 10 = 4 6 + 2W = 4 + 14 + W Combine like terms: 4 + 14 = 18 6 + 2W = 18 + W Solving 6 + 2W = 18 + W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-1W' to each side of the equation. 6 + 2W + -1W = 18 + W + -1W Combine like terms: 2W + -1W = 1W 6 + 1W = 18 + W + -1W Combine like terms: W + -1W = 0 6 + 1W = 18 + 0 6 + 1W = 18 Add '-6' to each side of the equation. 6 + -6 + 1W = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 1W = 18 + -6 1W = 18 + -6 Combine like terms: 18 + -6 = 12 1W = 12 Divide each side by '1'. W = 12 Simplifying W = 12
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