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Simplifying 6w + 3 = 4(w + -2) Reorder the terms: 3 + 6w = 4(w + -2) Reorder the terms: 3 + 6w = 4(-2 + w) 3 + 6w = (-2 * 4 + w * 4) 3 + 6w = (-8 + 4w) Solving 3 + 6w = -8 + 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. 3 + 6w + -4w = -8 + 4w + -4w Combine like terms: 6w + -4w = 2w 3 + 2w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 2w = -8 + 0 3 + 2w = -8 Add '-3' to each side of the equation. 3 + -3 + 2w = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = -8 + -3 2w = -8 + -3 Combine like terms: -8 + -3 = -11 2w = -11 Divide each side by '2'. w = -5.5 Simplifying w = -5.5
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