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Simplifying 3w + -18 = 7w + -34 Reorder the terms: -18 + 3w = 7w + -34 Reorder the terms: -18 + 3w = -34 + 7w Solving -18 + 3w = -34 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -18 + 3w + -7w = -34 + 7w + -7w Combine like terms: 3w + -7w = -4w -18 + -4w = -34 + 7w + -7w Combine like terms: 7w + -7w = 0 -18 + -4w = -34 + 0 -18 + -4w = -34 Add '18' to each side of the equation. -18 + 18 + -4w = -34 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = -34 + 18 -4w = -34 + 18 Combine like terms: -34 + 18 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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