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Simplifying -1w + 4 = 7w + -3 Reorder the terms: 4 + -1w = 7w + -3 Reorder the terms: 4 + -1w = -3 + 7w Solving 4 + -1w = -3 + 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 + -1w + -7w = -3 + 7w + -7w Combine like terms: -1w + -7w = -8w 4 + -8w = -3 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -8w = -3 + 0 4 + -8w = -3 Add '-4' to each side of the equation. 4 + -4 + -8w = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = -3 + -4 -8w = -3 + -4 Combine like terms: -3 + -4 = -7 -8w = -7 Divide each side by '-8'. w = 0.875 Simplifying w = 0.875
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