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Simplifying -6w + 8 = -4(w + -3) Reorder the terms: 8 + -6w = -4(w + -3) Reorder the terms: 8 + -6w = -4(-3 + w) 8 + -6w = (-3 * -4 + w * -4) 8 + -6w = (12 + -4w) Solving 8 + -6w = 12 + -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. 8 + -6w + 4w = 12 + -4w + 4w Combine like terms: -6w + 4w = -2w 8 + -2w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + -2w = 12 + 0 8 + -2w = 12 Add '-8' to each side of the equation. 8 + -8 + -2w = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 12 + -8 -2w = 12 + -8 Combine like terms: 12 + -8 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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