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Simplifying 8w + 12 + -6w = 4(w + 3) + -2 Reorder the terms: 12 + 8w + -6w = 4(w + 3) + -2 Combine like terms: 8w + -6w = 2w 12 + 2w = 4(w + 3) + -2 Reorder the terms: 12 + 2w = 4(3 + w) + -2 12 + 2w = (3 * 4 + w * 4) + -2 12 + 2w = (12 + 4w) + -2 Reorder the terms: 12 + 2w = 12 + -2 + 4w Combine like terms: 12 + -2 = 10 12 + 2w = 10 + 4w Solving 12 + 2w = 10 + 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. 12 + 2w + -4w = 10 + 4w + -4w Combine like terms: 2w + -4w = -2w 12 + -2w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + -2w = 10 + 0 12 + -2w = 10 Add '-12' to each side of the equation. 12 + -12 + -2w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 10 + -12 -2w = 10 + -12 Combine like terms: 10 + -12 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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