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Simplifying w + -21 = 6w + -76 Reorder the terms: -21 + w = 6w + -76 Reorder the terms: -21 + w = -76 + 6w Solving -21 + w = -76 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -21 + w + -6w = -76 + 6w + -6w Combine like terms: w + -6w = -5w -21 + -5w = -76 + 6w + -6w Combine like terms: 6w + -6w = 0 -21 + -5w = -76 + 0 -21 + -5w = -76 Add '21' to each side of the equation. -21 + 21 + -5w = -76 + 21 Combine like terms: -21 + 21 = 0 0 + -5w = -76 + 21 -5w = -76 + 21 Combine like terms: -76 + 21 = -55 -5w = -55 Divide each side by '-5'. w = 11 Simplifying w = 11
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