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Simplifying 7w + -46 = -2(w + -4) Reorder the terms: -46 + 7w = -2(w + -4) Reorder the terms: -46 + 7w = -2(-4 + w) -46 + 7w = (-4 * -2 + w * -2) -46 + 7w = (8 + -2w) Solving -46 + 7w = 8 + -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 = 8 + -2w + 2w Combine like terms: 7w + 2w = 9w -46 + 9w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -46 + 9w = 8 + 0 -46 + 9w = 8 Add '46' to each side of the equation. -46 + 46 + 9w = 8 + 46 Combine like terms: -46 + 46 = 0 0 + 9w = 8 + 46 9w = 8 + 46 Combine like terms: 8 + 46 = 54 9w = 54 Divide each side by '9'. w = 6 Simplifying w = 6
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