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Simplifying -34 = -4w + 6(w + -6) Reorder the terms: -34 = -4w + 6(-6 + w) -34 = -4w + (-6 * 6 + w * 6) -34 = -4w + (-36 + 6w) Reorder the terms: -34 = -36 + -4w + 6w Combine like terms: -4w + 6w = 2w -34 = -36 + 2w Solving -34 = -36 + 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 = -36 + 2w + -2w Combine like terms: 2w + -2w = 0 -34 + -2w = -36 + 0 -34 + -2w = -36 Add '34' to each side of the equation. -34 + 34 + -2w = -36 + 34 Combine like terms: -34 + 34 = 0 0 + -2w = -36 + 34 -2w = -36 + 34 Combine like terms: -36 + 34 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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