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Simplifying 7(3w + 10) * 4 = -8 Reorder the terms: 7(10 + 3w) * 4 = -8 Reorder the terms for easier multiplication: 7 * 4(10 + 3w) = -8 Multiply 7 * 4 28(10 + 3w) = -8 (10 * 28 + 3w * 28) = -8 (280 + 84w) = -8 Solving 280 + 84w = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 84w = -8 + -280 Combine like terms: 280 + -280 = 0 0 + 84w = -8 + -280 84w = -8 + -280 Combine like terms: -8 + -280 = -288 84w = -288 Divide each side by '84'. w = -3.428571429 Simplifying w = -3.428571429
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