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Simplifying 3 + (w + 2) * 2 + w = 7(w + -1) + 9 Reorder the terms: 3 + (2 + w) * 2 + w = 7(w + -1) + 9 Reorder the terms for easier multiplication: 3 + 2(2 + w) + w = 7(w + -1) + 9 3 + (2 * 2 + w * 2) + w = 7(w + -1) + 9 3 + (4 + 2w) + w = 7(w + -1) + 9 Combine like terms: 3 + 4 = 7 7 + 2w + w = 7(w + -1) + 9 Combine like terms: 2w + w = 3w 7 + 3w = 7(w + -1) + 9 Reorder the terms: 7 + 3w = 7(-1 + w) + 9 7 + 3w = (-1 * 7 + w * 7) + 9 7 + 3w = (-7 + 7w) + 9 Reorder the terms: 7 + 3w = -7 + 9 + 7w Combine like terms: -7 + 9 = 2 7 + 3w = 2 + 7w Solving 7 + 3w = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 7 + 3w + -7w = 2 + 7w + -7w Combine like terms: 3w + -7w = -4w 7 + -4w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + -4w = 2 + 0 7 + -4w = 2 Add '-7' to each side of the equation. 7 + -7 + -4w = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = 2 + -7 -4w = 2 + -7 Combine like terms: 2 + -7 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25
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