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Simplifying 4[2 + -5(w + 3)] + 2(w + 1) = 2 Reorder the terms: 4[2 + -5(3 + w)] + 2(w + 1) = 2 4[2 + (3 * -5 + w * -5)] + 2(w + 1) = 2 4[2 + (-15 + -5w)] + 2(w + 1) = 2 Combine like terms: 2 + -15 = -13 4[-13 + -5w] + 2(w + 1) = 2 [-13 * 4 + -5w * 4] + 2(w + 1) = 2 [-52 + -20w] + 2(w + 1) = 2 Reorder the terms: -52 + -20w + 2(1 + w) = 2 -52 + -20w + (1 * 2 + w * 2) = 2 -52 + -20w + (2 + 2w) = 2 Reorder the terms: -52 + 2 + -20w + 2w = 2 Combine like terms: -52 + 2 = -50 -50 + -20w + 2w = 2 Combine like terms: -20w + 2w = -18w -50 + -18w = 2 Solving -50 + -18w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -18w = 2 + 50 Combine like terms: -50 + 50 = 0 0 + -18w = 2 + 50 -18w = 2 + 50 Combine like terms: 2 + 50 = 52 -18w = 52 Divide each side by '-18'. w = -2.888888889 Simplifying w = -2.888888889
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