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Simplifying (W + 3) + (w) + (w + 4) = 32(w + 3) Reorder the terms: (3 + W) + (w) + (w + 4) = 32(w + 3) Remove parenthesis around (3 + W) 3 + W + (w) + (w + 4) = 32(w + 3) 3 + W + w + (w + 4) = 32(w + 3) Reorder the terms: 3 + W + w + (4 + w) = 32(w + 3) Remove parenthesis around (4 + w) 3 + W + w + 4 + w = 32(w + 3) Reorder the terms: 3 + 4 + W + w + w = 32(w + 3) Combine like terms: 3 + 4 = 7 7 + W + w + w = 32(w + 3) Combine like terms: w + w = 2w 7 + W + 2w = 32(w + 3) Reorder the terms: 7 + W + 2w = 32(3 + w) 7 + W + 2w = (3 * 32 + w * 32) 7 + W + 2w = (96 + 32w) Solving 7 + W + 2w = 96 + 32w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + W + -7 + 2w = 96 + -7 + 32w Reorder the terms: 7 + -7 + W + 2w = 96 + -7 + 32w Combine like terms: 7 + -7 = 0 0 + W + 2w = 96 + -7 + 32w W + 2w = 96 + -7 + 32w Combine like terms: 96 + -7 = 89 W + 2w = 89 + 32w Add '-2w' to each side of the equation. W + 2w + -2w = 89 + 32w + -2w Combine like terms: 2w + -2w = 0 W + 0 = 89 + 32w + -2w W = 89 + 32w + -2w Combine like terms: 32w + -2w = 30w W = 89 + 30w Simplifying W = 89 + 30w
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