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Simplifying -8w + 15 = 4w + 21 Reorder the terms: 15 + -8w = 4w + 21 Reorder the terms: 15 + -8w = 21 + 4w Solving 15 + -8w = 21 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 15 + -8w + -4w = 21 + 4w + -4w Combine like terms: -8w + -4w = -12w 15 + -12w = 21 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -12w = 21 + 0 15 + -12w = 21 Add '-15' to each side of the equation. 15 + -15 + -12w = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -12w = 21 + -15 -12w = 21 + -15 Combine like terms: 21 + -15 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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