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Simplifying 3(w + 2) + -2(w + -1) + 5 = 0 Reorder the terms: 3(2 + w) + -2(w + -1) + 5 = 0 (2 * 3 + w * 3) + -2(w + -1) + 5 = 0 (6 + 3w) + -2(w + -1) + 5 = 0 Reorder the terms: 6 + 3w + -2(-1 + w) + 5 = 0 6 + 3w + (-1 * -2 + w * -2) + 5 = 0 6 + 3w + (2 + -2w) + 5 = 0 Reorder the terms: 6 + 2 + 5 + 3w + -2w = 0 Combine like terms: 6 + 2 = 8 8 + 5 + 3w + -2w = 0 Combine like terms: 8 + 5 = 13 13 + 3w + -2w = 0 Combine like terms: 3w + -2w = 1w 13 + 1w = 0 Solving 13 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1w = 0 + -13 1w = 0 + -13 Combine like terms: 0 + -13 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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