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Simplifying (2w) * 3 + -1(7w) * 2 + -6w + 21 = 0 Remove parenthesis around (2w) 2w * 3 + -1(7w) * 2 + -6w + 21 = 0 Reorder the terms for easier multiplication: 2 * 3w + -1(7w) * 2 + -6w + 21 = 0 Multiply 2 * 3 6w + -1(7w) * 2 + -6w + 21 = 0 Remove parenthesis around (7w) 6w + -1 * 7w * 2 + -6w + 21 = 0 Reorder the terms for easier multiplication: 6w + -1 * 7 * 2w + -6w + 21 = 0 Multiply -1 * 7 6w + -7 * 2w + -6w + 21 = 0 Multiply -7 * 2 6w + -14w + -6w + 21 = 0 Reorder the terms: 21 + 6w + -14w + -6w = 0 Combine like terms: 6w + -14w = -8w 21 + -8w + -6w = 0 Combine like terms: -8w + -6w = -14w 21 + -14w = 0 Solving 21 + -14w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -14w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -14w = 0 + -21 -14w = 0 + -21 Combine like terms: 0 + -21 = -21 -14w = -21 Divide each side by '-14'. w = 1.5 Simplifying w = 1.5
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