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Simplifying 4w + -12 = 4w + -18 + 2w Reorder the terms: -12 + 4w = 4w + -18 + 2w Reorder the terms: -12 + 4w = -18 + 4w + 2w Combine like terms: 4w + 2w = 6w -12 + 4w = -18 + 6w Solving -12 + 4w = -18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -12 + 4w + -6w = -18 + 6w + -6w Combine like terms: 4w + -6w = -2w -12 + -2w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + -2w = -18 + 0 -12 + -2w = -18 Add '12' to each side of the equation. -12 + 12 + -2w = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -18 + 12 -2w = -18 + 12 Combine like terms: -18 + 12 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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