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Simplifying 15 + 5(w + -2) = 7w + 4 Reorder the terms: 15 + 5(-2 + w) = 7w + 4 15 + (-2 * 5 + w * 5) = 7w + 4 15 + (-10 + 5w) = 7w + 4 Combine like terms: 15 + -10 = 5 5 + 5w = 7w + 4 Reorder the terms: 5 + 5w = 4 + 7w Solving 5 + 5w = 4 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 5 + 5w + -7w = 4 + 7w + -7w Combine like terms: 5w + -7w = -2w 5 + -2w = 4 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + -2w = 4 + 0 5 + -2w = 4 Add '-5' to each side of the equation. 5 + -5 + -2w = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 4 + -5 -2w = 4 + -5 Combine like terms: 4 + -5 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5
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