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Simplifying 3w + -28 = 4w + -40 Reorder the terms: -28 + 3w = 4w + -40 Reorder the terms: -28 + 3w = -40 + 4w Solving -28 + 3w = -40 + 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. -28 + 3w + -4w = -40 + 4w + -4w Combine like terms: 3w + -4w = -1w -28 + -1w = -40 + 4w + -4w Combine like terms: 4w + -4w = 0 -28 + -1w = -40 + 0 -28 + -1w = -40 Add '28' to each side of the equation. -28 + 28 + -1w = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -1w = -40 + 28 -1w = -40 + 28 Combine like terms: -40 + 28 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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