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Simplifying -30 = -8w + 6(w + -7) Reorder the terms: -30 = -8w + 6(-7 + w) -30 = -8w + (-7 * 6 + w * 6) -30 = -8w + (-42 + 6w) Reorder the terms: -30 = -42 + -8w + 6w Combine like terms: -8w + 6w = -2w -30 = -42 + -2w Solving -30 = -42 + -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 = -42 + -2w + 2w Combine like terms: -2w + 2w = 0 -30 + 2w = -42 + 0 -30 + 2w = -42 Add '30' to each side of the equation. -30 + 30 + 2w = -42 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -42 + 30 2w = -42 + 30 Combine like terms: -42 + 30 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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