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Simplifying w + -3 = 7w + 5 Reorder the terms: -3 + w = 7w + 5 Reorder the terms: -3 + w = 5 + 7w Solving -3 + w = 5 + 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. -3 + w + -7w = 5 + 7w + -7w Combine like terms: w + -7w = -6w -3 + -6w = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -3 + -6w = 5 + 0 -3 + -6w = 5 Add '3' to each side of the equation. -3 + 3 + -6w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -6w = 5 + 3 -6w = 5 + 3 Combine like terms: 5 + 3 = 8 -6w = 8 Divide each side by '-6'. w = -1.333333333 Simplifying w = -1.333333333
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