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Simplifying 2[W + 2] + -1W = 3[W + -1] + 9 Reorder the terms: 2[2 + W] + -1W = 3[W + -1] + 9 [2 * 2 + W * 2] + -1W = 3[W + -1] + 9 [4 + 2W] + -1W = 3[W + -1] + 9 Combine like terms: 2W + -1W = 1W 4 + 1W = 3[W + -1] + 9 Reorder the terms: 4 + 1W = 3[-1 + W] + 9 4 + 1W = [-1 * 3 + W * 3] + 9 4 + 1W = [-3 + 3W] + 9 Reorder the terms: 4 + 1W = -3 + 9 + 3W Combine like terms: -3 + 9 = 6 4 + 1W = 6 + 3W Solving 4 + 1W = 6 + 3W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-3W' to each side of the equation. 4 + 1W + -3W = 6 + 3W + -3W Combine like terms: 1W + -3W = -2W 4 + -2W = 6 + 3W + -3W Combine like terms: 3W + -3W = 0 4 + -2W = 6 + 0 4 + -2W = 6 Add '-4' to each side of the equation. 4 + -4 + -2W = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2W = 6 + -4 -2W = 6 + -4 Combine like terms: 6 + -4 = 2 -2W = 2 Divide each side by '-2'. W = -1 Simplifying W = -1
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