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Simplifying 4w + -38 = 2(w + -9) Reorder the terms: -38 + 4w = 2(w + -9) Reorder the terms: -38 + 4w = 2(-9 + w) -38 + 4w = (-9 * 2 + w * 2) -38 + 4w = (-18 + 2w) Solving -38 + 4w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -38 + 4w + -2w = -18 + 2w + -2w Combine like terms: 4w + -2w = 2w -38 + 2w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -38 + 2w = -18 + 0 -38 + 2w = -18 Add '38' to each side of the equation. -38 + 38 + 2w = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 2w = -18 + 38 2w = -18 + 38 Combine like terms: -18 + 38 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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