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Simplifying -1w + -4w + -7 = -2w + 5 Reorder the terms: -7 + -1w + -4w = -2w + 5 Combine like terms: -1w + -4w = -5w -7 + -5w = -2w + 5 Reorder the terms: -7 + -5w = 5 + -2w Solving -7 + -5w = 5 + -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. -7 + -5w + 2w = 5 + -2w + 2w Combine like terms: -5w + 2w = -3w -7 + -3w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + -3w = 5 + 0 -7 + -3w = 5 Add '7' to each side of the equation. -7 + 7 + -3w = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 5 + 7 -3w = 5 + 7 Combine like terms: 5 + 7 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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