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Simplifying -1(9w + 2z + 3) + -4(3w + -1z) = 0 Reorder the terms: -1(3 + 9w + 2z) + -4(3w + -1z) = 0 (3 * -1 + 9w * -1 + 2z * -1) + -4(3w + -1z) = 0 (-3 + -9w + -2z) + -4(3w + -1z) = 0 -3 + -9w + -2z + (3w * -4 + -1z * -4) = 0 -3 + -9w + -2z + (-12w + 4z) = 0 Reorder the terms: -3 + -9w + -12w + -2z + 4z = 0 Combine like terms: -9w + -12w = -21w -3 + -21w + -2z + 4z = 0 Combine like terms: -2z + 4z = 2z -3 + -21w + 2z = 0 Solving -3 + -21w + 2z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -21w + 3 + 2z = 0 + 3 Reorder the terms: -3 + 3 + -21w + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -21w + 2z = 0 + 3 -21w + 2z = 0 + 3 Combine like terms: 0 + 3 = 3 -21w + 2z = 3 Add '-2z' to each side of the equation. -21w + 2z + -2z = 3 + -2z Combine like terms: 2z + -2z = 0 -21w + 0 = 3 + -2z -21w = 3 + -2z Divide each side by '-21'. w = -0.1428571429 + 0.09523809524z Simplifying w = -0.1428571429 + 0.09523809524z
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