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Simplifying 40w + 70 = 96w + 30 Reorder the terms: 70 + 40w = 96w + 30 Reorder the terms: 70 + 40w = 30 + 96w Solving 70 + 40w = 30 + 96w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-96w' to each side of the equation. 70 + 40w + -96w = 30 + 96w + -96w Combine like terms: 40w + -96w = -56w 70 + -56w = 30 + 96w + -96w Combine like terms: 96w + -96w = 0 70 + -56w = 30 + 0 70 + -56w = 30 Add '-70' to each side of the equation. 70 + -70 + -56w = 30 + -70 Combine like terms: 70 + -70 = 0 0 + -56w = 30 + -70 -56w = 30 + -70 Combine like terms: 30 + -70 = -40 -56w = -40 Divide each side by '-56'. w = 0.7142857143 Simplifying w = 0.7142857143
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