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Simplifying 6(W + -1) = 3(W + 3) Reorder the terms: 6(-1 + W) = 3(W + 3) (-1 * 6 + W * 6) = 3(W + 3) (-6 + 6W) = 3(W + 3) Reorder the terms: -6 + 6W = 3(3 + W) -6 + 6W = (3 * 3 + W * 3) -6 + 6W = (9 + 3W) Solving -6 + 6W = 9 + 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. -6 + 6W + -3W = 9 + 3W + -3W Combine like terms: 6W + -3W = 3W -6 + 3W = 9 + 3W + -3W Combine like terms: 3W + -3W = 0 -6 + 3W = 9 + 0 -6 + 3W = 9 Add '6' to each side of the equation. -6 + 6 + 3W = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3W = 9 + 6 3W = 9 + 6 Combine like terms: 9 + 6 = 15 3W = 15 Divide each side by '3'. W = 5 Simplifying W = 5
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