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Simplifying 2w + -1 + w + 2 = 5(2w) Reorder the terms: -1 + 2 + 2w + w = 5(2w) Combine like terms: -1 + 2 = 1 1 + 2w + w = 5(2w) Combine like terms: 2w + w = 3w 1 + 3w = 5(2w) Remove parenthesis around (2w) 1 + 3w = 5 * 2w Multiply 5 * 2 1 + 3w = 10w Solving 1 + 3w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 1 + 3w + -10w = 10w + -10w Combine like terms: 3w + -10w = -7w 1 + -7w = 10w + -10w Combine like terms: 10w + -10w = 0 1 + -7w = 0 Add '-1' to each side of the equation. 1 + -1 + -7w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7w = 0 + -1 -7w = 0 + -1 Combine like terms: 0 + -1 = -1 -7w = -1 Divide each side by '-7'. w = 0.1428571429 Simplifying w = 0.1428571429
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