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Simplifying 7(10 + -3w) = 5(15 + -4) (10 * 7 + -3w * 7) = 5(15 + -4) (70 + -21w) = 5(15 + -4) Combine like terms: 15 + -4 = 11 70 + -21w = 5(11) Multiply 5 * 11 70 + -21w = 55 Solving 70 + -21w = 55 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 = 55 + -70 Combine like terms: 70 + -70 = 0 0 + -21w = 55 + -70 -21w = 55 + -70 Combine like terms: 55 + -70 = -15 -21w = -15 Divide each side by '-21'. w = 0.7142857143 Simplifying w = 0.7142857143
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