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Simplifying -7w + -46 = -4w + 7 Reorder the terms: -46 + -7w = -4w + 7 Reorder the terms: -46 + -7w = 7 + -4w Solving -46 + -7w = 7 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -46 + -7w + 4w = 7 + -4w + 4w Combine like terms: -7w + 4w = -3w -46 + -3w = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 -46 + -3w = 7 + 0 -46 + -3w = 7 Add '46' to each side of the equation. -46 + 46 + -3w = 7 + 46 Combine like terms: -46 + 46 = 0 0 + -3w = 7 + 46 -3w = 7 + 46 Combine like terms: 7 + 46 = 53 -3w = 53 Divide each side by '-3'. w = -17.66666667 Simplifying w = -17.66666667
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