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Simplifying 4 + -7w(2) = 3(2w + 10) Reorder the terms for easier multiplication: 4 + -7 * 2w = 3(2w + 10) Multiply -7 * 2 4 + -14w = 3(2w + 10) Reorder the terms: 4 + -14w = 3(10 + 2w) 4 + -14w = (10 * 3 + 2w * 3) 4 + -14w = (30 + 6w) Solving 4 + -14w = 30 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 4 + -14w + -6w = 30 + 6w + -6w Combine like terms: -14w + -6w = -20w 4 + -20w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -20w = 30 + 0 4 + -20w = 30 Add '-4' to each side of the equation. 4 + -4 + -20w = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -20w = 30 + -4 -20w = 30 + -4 Combine like terms: 30 + -4 = 26 -20w = 26 Divide each side by '-20'. w = -1.3 Simplifying w = -1.3
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