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Simplifying 30 + -7w = 10w + -4 Reorder the terms: 30 + -7w = -4 + 10w Solving 30 + -7w = -4 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 30 + -7w + -10w = -4 + 10w + -10w Combine like terms: -7w + -10w = -17w 30 + -17w = -4 + 10w + -10w Combine like terms: 10w + -10w = 0 30 + -17w = -4 + 0 30 + -17w = -4 Add '-30' to each side of the equation. 30 + -30 + -17w = -4 + -30 Combine like terms: 30 + -30 = 0 0 + -17w = -4 + -30 -17w = -4 + -30 Combine like terms: -4 + -30 = -34 -17w = -34 Divide each side by '-17'. w = 2 Simplifying w = 2
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