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Simplifying -1w + -5 = 3w + 23 Reorder the terms: -5 + -1w = 3w + 23 Reorder the terms: -5 + -1w = 23 + 3w Solving -5 + -1w = 23 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + -1w + -3w = 23 + 3w + -3w Combine like terms: -1w + -3w = -4w -5 + -4w = 23 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -4w = 23 + 0 -5 + -4w = 23 Add '5' to each side of the equation. -5 + 5 + -4w = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -4w = 23 + 5 -4w = 23 + 5 Combine like terms: 23 + 5 = 28 -4w = 28 Divide each side by '-4'. w = -7 Simplifying w = -7
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