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Simplifying -5(w + -2) = 2w + 3 Reorder the terms: -5(-2 + w) = 2w + 3 (-2 * -5 + w * -5) = 2w + 3 (10 + -5w) = 2w + 3 Reorder the terms: 10 + -5w = 3 + 2w Solving 10 + -5w = 3 + 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. 10 + -5w + -2w = 3 + 2w + -2w Combine like terms: -5w + -2w = -7w 10 + -7w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + -7w = 3 + 0 10 + -7w = 3 Add '-10' to each side of the equation. 10 + -10 + -7w = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7w = 3 + -10 -7w = 3 + -10 Combine like terms: 3 + -10 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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