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Simplifying -6w + -30 = -8(w + 4) Reorder the terms: -30 + -6w = -8(w + 4) Reorder the terms: -30 + -6w = -8(4 + w) -30 + -6w = (4 * -8 + w * -8) -30 + -6w = (-32 + -8w) Solving -30 + -6w = -32 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -30 + -6w + 8w = -32 + -8w + 8w Combine like terms: -6w + 8w = 2w -30 + 2w = -32 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 2w = -32 + 0 -30 + 2w = -32 Add '30' to each side of the equation. -30 + 30 + 2w = -32 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -32 + 30 2w = -32 + 30 Combine like terms: -32 + 30 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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