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Simplifying (6 + -4w + 4y)(-8) = 0 Reorder the terms for easier multiplication: -8(6 + -4w + 4y) = 0 (6 * -8 + -4w * -8 + 4y * -8) = 0 (-48 + 32w + -32y) = 0 Solving -48 + 32w + -32y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 32w + 48 + -32y = 0 + 48 Reorder the terms: -48 + 48 + 32w + -32y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 32w + -32y = 0 + 48 32w + -32y = 0 + 48 Combine like terms: 0 + 48 = 48 32w + -32y = 48 Add '32y' to each side of the equation. 32w + -32y + 32y = 48 + 32y Combine like terms: -32y + 32y = 0 32w + 0 = 48 + 32y 32w = 48 + 32y Divide each side by '32'. w = 1.5 + y Simplifying w = 1.5 + y
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