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Simplifying -34 = -6w + 4(w + -7) Reorder the terms: -34 = -6w + 4(-7 + w) -34 = -6w + (-7 * 4 + w * 4) -34 = -6w + (-28 + 4w) Reorder the terms: -34 = -28 + -6w + 4w Combine like terms: -6w + 4w = -2w -34 = -28 + -2w Solving -34 = -28 + -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. -34 + 2w = -28 + -2w + 2w Combine like terms: -2w + 2w = 0 -34 + 2w = -28 + 0 -34 + 2w = -28 Add '34' to each side of the equation. -34 + 34 + 2w = -28 + 34 Combine like terms: -34 + 34 = 0 0 + 2w = -28 + 34 2w = -28 + 34 Combine like terms: -28 + 34 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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