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Simplifying (-2 + 3w + 4y)(-4) = 0 Reorder the terms for easier multiplication: -4(-2 + 3w + 4y) = 0 (-2 * -4 + 3w * -4 + 4y * -4) = 0 (8 + -12w + -16y) = 0 Solving 8 + -12w + -16y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -12w + -8 + -16y = 0 + -8 Reorder the terms: 8 + -8 + -12w + -16y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12w + -16y = 0 + -8 -12w + -16y = 0 + -8 Combine like terms: 0 + -8 = -8 -12w + -16y = -8 Add '16y' to each side of the equation. -12w + -16y + 16y = -8 + 16y Combine like terms: -16y + 16y = 0 -12w + 0 = -8 + 16y -12w = -8 + 16y Divide each side by '-12'. w = 0.6666666667 + -1.333333333y Simplifying w = 0.6666666667 + -1.333333333y
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