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Simplifying 7.5 = 7.5(w + -6.5) Reorder the terms: 7.5 = 7.5(-6.5 + w) 7.5 = (-6.5 * 7.5 + w * 7.5) 7.5 = (-48.75 + 7.5w) Solving 7.5 = -48.75 + 7.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.5w' to each side of the equation. 7.5 + -7.5w = -48.75 + 7.5w + -7.5w Combine like terms: 7.5w + -7.5w = 0.0 7.5 + -7.5w = -48.75 + 0.0 7.5 + -7.5w = -48.75 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -7.5w = -48.75 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -7.5w = -48.75 + -7.5 -7.5w = -48.75 + -7.5 Combine like terms: -48.75 + -7.5 = -56.25 -7.5w = -56.25 Divide each side by '-7.5'. w = 7.5 Simplifying w = 7.5
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