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Simplifying 2(1 + -3(w + 2) + 2(w + 3)) = 5w Reorder the terms: 2(1 + -3(2 + w) + 2(w + 3)) = 5w 2(1 + (2 * -3 + w * -3) + 2(w + 3)) = 5w 2(1 + (-6 + -3w) + 2(w + 3)) = 5w Reorder the terms: 2(1 + -6 + -3w + 2(3 + w)) = 5w 2(1 + -6 + -3w + (3 * 2 + w * 2)) = 5w 2(1 + -6 + -3w + (6 + 2w)) = 5w Reorder the terms: 2(1 + -6 + 6 + -3w + 2w) = 5w Combine like terms: 1 + -6 = -5 2(-5 + 6 + -3w + 2w) = 5w Combine like terms: -5 + 6 = 1 2(1 + -3w + 2w) = 5w Combine like terms: -3w + 2w = -1w 2(1 + -1w) = 5w (1 * 2 + -1w * 2) = 5w (2 + -2w) = 5w Solving 2 + -2w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2 + -2w + -5w = 5w + -5w Combine like terms: -2w + -5w = -7w 2 + -7w = 5w + -5w Combine like terms: 5w + -5w = 0 2 + -7w = 0 Add '-2' to each side of the equation. 2 + -2 + -7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = 0 + -2 -7w = 0 + -2 Combine like terms: 0 + -2 = -2 -7w = -2 Divide each side by '-7'. w = 0.2857142857 Simplifying w = 0.2857142857
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