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Simplifying 3(2W + 7) + 4(w + 8) = 93 Reorder the terms: 3(7 + 2W) + 4(w + 8) = 93 (7 * 3 + 2W * 3) + 4(w + 8) = 93 (21 + 6W) + 4(w + 8) = 93 Reorder the terms: 21 + 6W + 4(8 + w) = 93 21 + 6W + (8 * 4 + w * 4) = 93 21 + 6W + (32 + 4w) = 93 Reorder the terms: 21 + 32 + 6W + 4w = 93 Combine like terms: 21 + 32 = 53 53 + 6W + 4w = 93 Solving 53 + 6W + 4w = 93 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + 6W + -53 + 4w = 93 + -53 Reorder the terms: 53 + -53 + 6W + 4w = 93 + -53 Combine like terms: 53 + -53 = 0 0 + 6W + 4w = 93 + -53 6W + 4w = 93 + -53 Combine like terms: 93 + -53 = 40 6W + 4w = 40 Add '-4w' to each side of the equation. 6W + 4w + -4w = 40 + -4w Combine like terms: 4w + -4w = 0 6W + 0 = 40 + -4w 6W = 40 + -4w Divide each side by '6'. W = 6.666666667 + -0.6666666667w Simplifying W = 6.666666667 + -0.6666666667w
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