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Simplifying w + 4W + 12 = 13W + 9 Reorder the terms: 12 + 4W + w = 13W + 9 Reorder the terms: 12 + 4W + w = 9 + 13W Solving 12 + 4W + w = 9 + 13W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-13W' to each side of the equation. 12 + 4W + -13W + w = 9 + 13W + -13W Combine like terms: 4W + -13W = -9W 12 + -9W + w = 9 + 13W + -13W Combine like terms: 13W + -13W = 0 12 + -9W + w = 9 + 0 12 + -9W + w = 9 Add '-12' to each side of the equation. 12 + -9W + -12 + w = 9 + -12 Reorder the terms: 12 + -12 + -9W + w = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -9W + w = 9 + -12 -9W + w = 9 + -12 Combine like terms: 9 + -12 = -3 -9W + w = -3 Add '-1w' to each side of the equation. -9W + w + -1w = -3 + -1w Combine like terms: w + -1w = 0 -9W + 0 = -3 + -1w -9W = -3 + -1w Divide each side by '-9'. W = 0.3333333333 + 0.1111111111w Simplifying W = 0.3333333333 + 0.1111111111w
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