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Simplifying (6 + -2y + 4w)(-7) = 0 Reorder the terms: (6 + 4w + -2y)(-7) = 0 Reorder the terms for easier multiplication: -7(6 + 4w + -2y) = 0 (6 * -7 + 4w * -7 + -2y * -7) = 0 (-42 + -28w + 14y) = 0 Solving -42 + -28w + 14y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -28w + 42 + 14y = 0 + 42 Reorder the terms: -42 + 42 + -28w + 14y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -28w + 14y = 0 + 42 -28w + 14y = 0 + 42 Combine like terms: 0 + 42 = 42 -28w + 14y = 42 Add '-14y' to each side of the equation. -28w + 14y + -14y = 42 + -14y Combine like terms: 14y + -14y = 0 -28w + 0 = 42 + -14y -28w = 42 + -14y Divide each side by '-28'. w = -1.5 + 0.5y Simplifying w = -1.5 + 0.5y
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