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Simplifying 9w + -30 = 2(w + -8) Reorder the terms: -30 + 9w = 2(w + -8) Reorder the terms: -30 + 9w = 2(-8 + w) -30 + 9w = (-8 * 2 + w * 2) -30 + 9w = (-16 + 2w) Solving -30 + 9w = -16 + 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 + 9w + -2w = -16 + 2w + -2w Combine like terms: 9w + -2w = 7w -30 + 7w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + 7w = -16 + 0 -30 + 7w = -16 Add '30' to each side of the equation. -30 + 30 + 7w = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 7w = -16 + 30 7w = -16 + 30 Combine like terms: -16 + 30 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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