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Simplifying 15w + 5 = 7w + -4 Reorder the terms: 5 + 15w = 7w + -4 Reorder the terms: 5 + 15w = -4 + 7w Solving 5 + 15w = -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 + 15w + -7w = -4 + 7w + -7w Combine like terms: 15w + -7w = 8w 5 + 8w = -4 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + 8w = -4 + 0 5 + 8w = -4 Add '-5' to each side of the equation. 5 + -5 + 8w = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = -4 + -5 8w = -4 + -5 Combine like terms: -4 + -5 = -9 8w = -9 Divide each side by '8'. w = -1.125 Simplifying w = -1.125
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