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Simplifying 3[w + -5] = [2w + 10] Reorder the terms: 3[-5 + w] = [2w + 10] [-5 * 3 + w * 3] = [2w + 10] [-15 + 3w] = [2w + 10] Reorder the terms: -15 + 3w = [10 + 2w] Remove brackets around [10 + 2w] -15 + 3w = 10 + 2w Solving -15 + 3w = 10 + 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. -15 + 3w + -2w = 10 + 2w + -2w Combine like terms: 3w + -2w = 1w -15 + 1w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 1w = 10 + 0 -15 + 1w = 10 Add '15' to each side of the equation. -15 + 15 + 1w = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 10 + 15 1w = 10 + 15 Combine like terms: 10 + 15 = 25 1w = 25 Divide each side by '1'. w = 25 Simplifying w = 25
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