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Simplifying 7w + -46 = 2(w + -8) Reorder the terms: -46 + 7w = 2(w + -8) Reorder the terms: -46 + 7w = 2(-8 + w) -46 + 7w = (-8 * 2 + w * 2) -46 + 7w = (-16 + 2w) Solving -46 + 7w = -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. -46 + 7w + -2w = -16 + 2w + -2w Combine like terms: 7w + -2w = 5w -46 + 5w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -46 + 5w = -16 + 0 -46 + 5w = -16 Add '46' to each side of the equation. -46 + 46 + 5w = -16 + 46 Combine like terms: -46 + 46 = 0 0 + 5w = -16 + 46 5w = -16 + 46 Combine like terms: -16 + 46 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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