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Simplifying 3(W + 2) + -1w = (w + -1) + 5 Reorder the terms: 3(2 + W) + -1w = (w + -1) + 5 (2 * 3 + W * 3) + -1w = (w + -1) + 5 (6 + 3W) + -1w = (w + -1) + 5 Reorder the terms: 6 + 3W + -1w = (-1 + w) + 5 Remove parenthesis around (-1 + w) 6 + 3W + -1w = -1 + w + 5 Reorder the terms: 6 + 3W + -1w = -1 + 5 + w Combine like terms: -1 + 5 = 4 6 + 3W + -1w = 4 + w Solving 6 + 3W + -1w = 4 + w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3W + -6 + -1w = 4 + -6 + w Reorder the terms: 6 + -6 + 3W + -1w = 4 + -6 + w Combine like terms: 6 + -6 = 0 0 + 3W + -1w = 4 + -6 + w 3W + -1w = 4 + -6 + w Combine like terms: 4 + -6 = -2 3W + -1w = -2 + w Add 'w' to each side of the equation. 3W + -1w + w = -2 + w + w Combine like terms: -1w + w = 0 3W + 0 = -2 + w + w 3W = -2 + w + w Combine like terms: w + w = 2w 3W = -2 + 2w Divide each side by '3'. W = -0.6666666667 + 0.6666666667w Simplifying W = -0.6666666667 + 0.6666666667w
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