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Simplifying 8(y + w + -3y + 4) = 0 Reorder the terms: 8(4 + w + y + -3y) = 0 Combine like terms: y + -3y = -2y 8(4 + w + -2y) = 0 (4 * 8 + w * 8 + -2y * 8) = 0 (32 + 8w + -16y) = 0 Solving 32 + 8w + -16y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8w + -32 + -16y = 0 + -32 Reorder the terms: 32 + -32 + 8w + -16y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8w + -16y = 0 + -32 8w + -16y = 0 + -32 Combine like terms: 0 + -32 = -32 8w + -16y = -32 Add '16y' to each side of the equation. 8w + -16y + 16y = -32 + 16y Combine like terms: -16y + 16y = 0 8w + 0 = -32 + 16y 8w = -32 + 16y Divide each side by '8'. w = -4 + 2y Simplifying w = -4 + 2y
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