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Simplifying 7(10 + -3w) = 5 (10 * 7 + -3w * 7) = 5 (70 + -21w) = 5 Solving 70 + -21w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -21w = 5 + -70 Combine like terms: 70 + -70 = 0 0 + -21w = 5 + -70 -21w = 5 + -70 Combine like terms: 5 + -70 = -65 -21w = -65 Divide each side by '-21'. w = 3.095238095 Simplifying w = 3.095238095
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