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Simplifying 3w + 5 + -4w + -5 = 7w + 1 Reorder the terms: 5 + -5 + 3w + -4w = 7w + 1 Combine like terms: 5 + -5 = 0 0 + 3w + -4w = 7w + 1 3w + -4w = 7w + 1 Combine like terms: 3w + -4w = -1w -1w = 7w + 1 Reorder the terms: -1w = 1 + 7w Solving -1w = 1 + 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. -1w + -7w = 1 + 7w + -7w Combine like terms: -1w + -7w = -8w -8w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 -8w = 1 + 0 -8w = 1 Divide each side by '-8'. w = -0.125 Simplifying w = -0.125
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