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Simplifying 2w + -2 + -3w = 3w + -18 Reorder the terms: -2 + 2w + -3w = 3w + -18 Combine like terms: 2w + -3w = -1w -2 + -1w = 3w + -18 Reorder the terms: -2 + -1w = -18 + 3w Solving -2 + -1w = -18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + -1w + -3w = -18 + 3w + -3w Combine like terms: -1w + -3w = -4w -2 + -4w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -4w = -18 + 0 -2 + -4w = -18 Add '2' to each side of the equation. -2 + 2 + -4w = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = -18 + 2 -4w = -18 + 2 Combine like terms: -18 + 2 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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