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Simplifying 5y + -3w + 4 = 7w Reorder the terms: 4 + -3w + 5y = 7w Solving 4 + -3w + 5y = 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. 4 + -3w + -7w + 5y = 7w + -7w Combine like terms: -3w + -7w = -10w 4 + -10w + 5y = 7w + -7w Combine like terms: 7w + -7w = 0 4 + -10w + 5y = 0 Add '-4' to each side of the equation. 4 + -10w + -4 + 5y = 0 + -4 Reorder the terms: 4 + -4 + -10w + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -10w + 5y = 0 + -4 -10w + 5y = 0 + -4 Combine like terms: 0 + -4 = -4 -10w + 5y = -4 Add '-5y' to each side of the equation. -10w + 5y + -5y = -4 + -5y Combine like terms: 5y + -5y = 0 -10w + 0 = -4 + -5y -10w = -4 + -5y Divide each side by '-10'. w = 0.4 + 0.5y Simplifying w = 0.4 + 0.5y
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