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Simplifying 5(3w + 6) + -10 = 7(2w + -4) + 6 Reorder the terms: 5(6 + 3w) + -10 = 7(2w + -4) + 6 (6 * 5 + 3w * 5) + -10 = 7(2w + -4) + 6 (30 + 15w) + -10 = 7(2w + -4) + 6 Reorder the terms: 30 + -10 + 15w = 7(2w + -4) + 6 Combine like terms: 30 + -10 = 20 20 + 15w = 7(2w + -4) + 6 Reorder the terms: 20 + 15w = 7(-4 + 2w) + 6 20 + 15w = (-4 * 7 + 2w * 7) + 6 20 + 15w = (-28 + 14w) + 6 Reorder the terms: 20 + 15w = -28 + 6 + 14w Combine like terms: -28 + 6 = -22 20 + 15w = -22 + 14w Solving 20 + 15w = -22 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 20 + 15w + -14w = -22 + 14w + -14w Combine like terms: 15w + -14w = 1w 20 + 1w = -22 + 14w + -14w Combine like terms: 14w + -14w = 0 20 + 1w = -22 + 0 20 + 1w = -22 Add '-20' to each side of the equation. 20 + -20 + 1w = -22 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = -22 + -20 1w = -22 + -20 Combine like terms: -22 + -20 = -42 1w = -42 Divide each side by '1'. w = -42 Simplifying w = -42
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