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Simplifying -3w + -34 = -7(w + 2) Reorder the terms: -34 + -3w = -7(w + 2) Reorder the terms: -34 + -3w = -7(2 + w) -34 + -3w = (2 * -7 + w * -7) -34 + -3w = (-14 + -7w) Solving -34 + -3w = -14 + -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. -34 + -3w + 7w = -14 + -7w + 7w Combine like terms: -3w + 7w = 4w -34 + 4w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 -34 + 4w = -14 + 0 -34 + 4w = -14 Add '34' to each side of the equation. -34 + 34 + 4w = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 4w = -14 + 34 4w = -14 + 34 Combine like terms: -14 + 34 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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