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Simplifying -30 = -8w + 6(w + -3) Reorder the terms: -30 = -8w + 6(-3 + w) -30 = -8w + (-3 * 6 + w * 6) -30 = -8w + (-18 + 6w) Reorder the terms: -30 = -18 + -8w + 6w Combine like terms: -8w + 6w = -2w -30 = -18 + -2w Solving -30 = -18 + -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. -30 + 2w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -30 + 2w = -18 + 0 -30 + 2w = -18 Add '30' to each side of the equation. -30 + 30 + 2w = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -18 + 30 2w = -18 + 30 Combine like terms: -18 + 30 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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