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Simplifying -34 = -7w + 3(w + -6) Reorder the terms: -34 = -7w + 3(-6 + w) -34 = -7w + (-6 * 3 + w * 3) -34 = -7w + (-18 + 3w) Reorder the terms: -34 = -18 + -7w + 3w Combine like terms: -7w + 3w = -4w -34 = -18 + -4w Solving -34 = -18 + -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. -34 + 4w = -18 + -4w + 4w Combine like terms: -4w + 4w = 0 -34 + 4w = -18 + 0 -34 + 4w = -18 Add '34' to each side of the equation. -34 + 34 + 4w = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 4w = -18 + 34 4w = -18 + 34 Combine like terms: -18 + 34 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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