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Simplifying 6(w + -2) + 8 = 4w + -16 Reorder the terms: 6(-2 + w) + 8 = 4w + -16 (-2 * 6 + w * 6) + 8 = 4w + -16 (-12 + 6w) + 8 = 4w + -16 Reorder the terms: -12 + 8 + 6w = 4w + -16 Combine like terms: -12 + 8 = -4 -4 + 6w = 4w + -16 Reorder the terms: -4 + 6w = -16 + 4w Solving -4 + 6w = -16 + 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. -4 + 6w + -4w = -16 + 4w + -4w Combine like terms: 6w + -4w = 2w -4 + 2w = -16 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 + 2w = -16 + 0 -4 + 2w = -16 Add '4' to each side of the equation. -4 + 4 + 2w = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = -16 + 4 2w = -16 + 4 Combine like terms: -16 + 4 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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