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Simplifying -21w + -15 = 8w + -84 Reorder the terms: -15 + -21w = 8w + -84 Reorder the terms: -15 + -21w = -84 + 8w Solving -15 + -21w = -84 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -15 + -21w + -8w = -84 + 8w + -8w Combine like terms: -21w + -8w = -29w -15 + -29w = -84 + 8w + -8w Combine like terms: 8w + -8w = 0 -15 + -29w = -84 + 0 -15 + -29w = -84 Add '15' to each side of the equation. -15 + 15 + -29w = -84 + 15 Combine like terms: -15 + 15 = 0 0 + -29w = -84 + 15 -29w = -84 + 15 Combine like terms: -84 + 15 = -69 -29w = -69 Divide each side by '-29'. w = 2.379310345 Simplifying w = 2.379310345
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