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Simplifying -2w + -16 = 4(w + 8) Reorder the terms: -16 + -2w = 4(w + 8) Reorder the terms: -16 + -2w = 4(8 + w) -16 + -2w = (8 * 4 + w * 4) -16 + -2w = (32 + 4w) Solving -16 + -2w = 32 + 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. -16 + -2w + -4w = 32 + 4w + -4w Combine like terms: -2w + -4w = -6w -16 + -6w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -6w = 32 + 0 -16 + -6w = 32 Add '16' to each side of the equation. -16 + 16 + -6w = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -6w = 32 + 16 -6w = 32 + 16 Combine like terms: 32 + 16 = 48 -6w = 48 Divide each side by '-6'. w = -8 Simplifying w = -8
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