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Simplifying 7y + -3(4w + 8) = 11 Reorder the terms: 7y + -3(8 + 4w) = 11 7y + (8 * -3 + 4w * -3) = 11 7y + (-24 + -12w) = 11 Reorder the terms: -24 + -12w + 7y = 11 Solving -24 + -12w + 7y = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -12w + 24 + 7y = 11 + 24 Reorder the terms: -24 + 24 + -12w + 7y = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -12w + 7y = 11 + 24 -12w + 7y = 11 + 24 Combine like terms: 11 + 24 = 35 -12w + 7y = 35 Add '-7y' to each side of the equation. -12w + 7y + -7y = 35 + -7y Combine like terms: 7y + -7y = 0 -12w + 0 = 35 + -7y -12w = 35 + -7y Divide each side by '-12'. w = -2.916666667 + 0.5833333333y Simplifying w = -2.916666667 + 0.5833333333y
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