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Simplifying 2w + -16 = 4w + -54 Reorder the terms: -16 + 2w = 4w + -54 Reorder the terms: -16 + 2w = -54 + 4w Solving -16 + 2w = -54 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -16 + 2w + -4w = -54 + 4w + -4w Combine like terms: 2w + -4w = -2w -16 + -2w = -54 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -2w = -54 + 0 -16 + -2w = -54 Add '16' to each side of the equation. -16 + 16 + -2w = -54 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -54 + 16 -2w = -54 + 16 Combine like terms: -54 + 16 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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