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Simplifying 4(3x + -12w + 4y) = 0 Reorder the terms: 4(-12w + 3x + 4y) = 0 (-12w * 4 + 3x * 4 + 4y * 4) = 0 (-48w + 12x + 16y) = 0 Solving -48w + 12x + 16y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -48w + 12x + -12x + 16y = 0 + -12x Combine like terms: 12x + -12x = 0 -48w + 0 + 16y = 0 + -12x -48w + 16y = 0 + -12x Remove the zero: -48w + 16y = -12x Add '-16y' to each side of the equation. -48w + 16y + -16y = -12x + -16y Combine like terms: 16y + -16y = 0 -48w + 0 = -12x + -16y -48w = -12x + -16y Divide each side by '-48'. w = 0.25x + 0.3333333333y Simplifying w = 0.25x + 0.3333333333y
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