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Simplifying w + 4 = 7w + -2 Reorder the terms: 4 + w = 7w + -2 Reorder the terms: 4 + w = -2 + 7w Solving 4 + w = -2 + 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 + w + -7w = -2 + 7w + -7w Combine like terms: w + -7w = -6w 4 + -6w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -6w = -2 + 0 4 + -6w = -2 Add '-4' to each side of the equation. 4 + -4 + -6w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = -2 + -4 -6w = -2 + -4 Combine like terms: -2 + -4 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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