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Simplifying 2w + -5 = 3(w + 1) Reorder the terms: -5 + 2w = 3(w + 1) Reorder the terms: -5 + 2w = 3(1 + w) -5 + 2w = (1 * 3 + w * 3) -5 + 2w = (3 + 3w) Solving -5 + 2w = 3 + 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 + 2w + -3w = 3 + 3w + -3w Combine like terms: 2w + -3w = -1w -5 + -1w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -1w = 3 + 0 -5 + -1w = 3 Add '5' to each side of the equation. -5 + 5 + -1w = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 3 + 5 -1w = 3 + 5 Combine like terms: 3 + 5 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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