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Simplifying 1w + -2 = -4 + 7w Reorder the terms: -2 + 1w = -4 + 7w Solving -2 + 1w = -4 + 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. -2 + 1w + -7w = -4 + 7w + -7w Combine like terms: 1w + -7w = -6w -2 + -6w = -4 + 7w + -7w Combine like terms: 7w + -7w = 0 -2 + -6w = -4 + 0 -2 + -6w = -4 Add '2' to each side of the equation. -2 + 2 + -6w = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -6w = -4 + 2 -6w = -4 + 2 Combine like terms: -4 + 2 = -2 -6w = -2 Divide each side by '-6'. w = 0.3333333333 Simplifying w = 0.3333333333
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