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Simplifying -4w + -36 = -6(w + 3) Reorder the terms: -36 + -4w = -6(w + 3) Reorder the terms: -36 + -4w = -6(3 + w) -36 + -4w = (3 * -6 + w * -6) -36 + -4w = (-18 + -6w) Solving -36 + -4w = -18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -36 + -4w + 6w = -18 + -6w + 6w Combine like terms: -4w + 6w = 2w -36 + 2w = -18 + -6w + 6w Combine like terms: -6w + 6w = 0 -36 + 2w = -18 + 0 -36 + 2w = -18 Add '36' to each side of the equation. -36 + 36 + 2w = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 2w = -18 + 36 2w = -18 + 36 Combine like terms: -18 + 36 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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