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Simplifying -2w + -16 = 2w + -8 + 8w + 8 Reorder the terms: -16 + -2w = 2w + -8 + 8w + 8 Reorder the terms: -16 + -2w = -8 + 8 + 2w + 8w Combine like terms: -8 + 8 = 0 -16 + -2w = 0 + 2w + 8w -16 + -2w = 2w + 8w Combine like terms: 2w + 8w = 10w -16 + -2w = 10w Solving -16 + -2w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -16 + -2w + -10w = 10w + -10w Combine like terms: -2w + -10w = -12w -16 + -12w = 10w + -10w Combine like terms: 10w + -10w = 0 -16 + -12w = 0 Add '16' to each side of the equation. -16 + 16 + -12w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12w = 0 + 16 -12w = 0 + 16 Combine like terms: 0 + 16 = 16 -12w = 16 Divide each side by '-12'. w = -1.333333333 Simplifying w = -1.333333333
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