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Simplifying 3w + -1(-3) = 8 + -1w Multiply -1 * -3 3w + 3 = 8 + -1w Reorder the terms: 3 + 3w = 8 + -1w Solving 3 + 3w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 3 + 3w + w = 8 + -1w + w Combine like terms: 3w + w = 4w 3 + 4w = 8 + -1w + w Combine like terms: -1w + w = 0 3 + 4w = 8 + 0 3 + 4w = 8 Add '-3' to each side of the equation. 3 + -3 + 4w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 8 + -3 4w = 8 + -3 Combine like terms: 8 + -3 = 5 4w = 5 Divide each side by '4'. w = 1.25 Simplifying w = 1.25
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