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Simplifying 15w + 2 = 7w + -4 Reorder the terms: 2 + 15w = 7w + -4 Reorder the terms: 2 + 15w = -4 + 7w Solving 2 + 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. 2 + 15w + -7w = -4 + 7w + -7w Combine like terms: 15w + -7w = 8w 2 + 8w = -4 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + 8w = -4 + 0 2 + 8w = -4 Add '-2' to each side of the equation. 2 + -2 + 8w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = -4 + -2 8w = -4 + -2 Combine like terms: -4 + -2 = -6 8w = -6 Divide each side by '8'. w = -0.75 Simplifying w = -0.75
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