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Simplifying 53 = 2w + 15 Reorder the terms: 53 = 15 + 2w Solving 53 = 15 + 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. 53 + -2w = 15 + 2w + -2w Combine like terms: 2w + -2w = 0 53 + -2w = 15 + 0 53 + -2w = 15 Add '-53' to each side of the equation. 53 + -53 + -2w = 15 + -53 Combine like terms: 53 + -53 = 0 0 + -2w = 15 + -53 -2w = 15 + -53 Combine like terms: 15 + -53 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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