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Simplifying 28 + -3(2w + 1) = 5w + -3(5 + w) Reorder the terms: 28 + -3(1 + 2w) = 5w + -3(5 + w) 28 + (1 * -3 + 2w * -3) = 5w + -3(5 + w) 28 + (-3 + -6w) = 5w + -3(5 + w) Combine like terms: 28 + -3 = 25 25 + -6w = 5w + -3(5 + w) 25 + -6w = 5w + (5 * -3 + w * -3) 25 + -6w = 5w + (-15 + -3w) Reorder the terms: 25 + -6w = -15 + 5w + -3w Combine like terms: 5w + -3w = 2w 25 + -6w = -15 + 2w Solving 25 + -6w = -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. 25 + -6w + -2w = -15 + 2w + -2w Combine like terms: -6w + -2w = -8w 25 + -8w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 25 + -8w = -15 + 0 25 + -8w = -15 Add '-25' to each side of the equation. 25 + -25 + -8w = -15 + -25 Combine like terms: 25 + -25 = 0 0 + -8w = -15 + -25 -8w = -15 + -25 Combine like terms: -15 + -25 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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