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Simplifying (w + 5) * -5 = (2w + 5) Reorder the terms: (5 + w) * -5 = (2w + 5) Reorder the terms for easier multiplication: -5(5 + w) = (2w + 5) (5 * -5 + w * -5) = (2w + 5) (-25 + -5w) = (2w + 5) Reorder the terms: -25 + -5w = (5 + 2w) Remove parenthesis around (5 + 2w) -25 + -5w = 5 + 2w Solving -25 + -5w = 5 + 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 + -5w + -2w = 5 + 2w + -2w Combine like terms: -5w + -2w = -7w -25 + -7w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -25 + -7w = 5 + 0 -25 + -7w = 5 Add '25' to each side of the equation. -25 + 25 + -7w = 5 + 25 Combine like terms: -25 + 25 = 0 0 + -7w = 5 + 25 -7w = 5 + 25 Combine like terms: 5 + 25 = 30 -7w = 30 Divide each side by '-7'. w = -4.285714286 Simplifying w = -4.285714286
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