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Simplifying 3w + -6 + -4w = 2w + -18 Reorder the terms: -6 + 3w + -4w = 2w + -18 Combine like terms: 3w + -4w = -1w -6 + -1w = 2w + -18 Reorder the terms: -6 + -1w = -18 + 2w Solving -6 + -1w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -6 + -1w + -2w = -18 + 2w + -2w Combine like terms: -1w + -2w = -3w -6 + -3w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -3w = -18 + 0 -6 + -3w = -18 Add '6' to each side of the equation. -6 + 6 + -3w = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = -18 + 6 -3w = -18 + 6 Combine like terms: -18 + 6 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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