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Simplifying -1(4 + -1z) = -3(-1d + -2) (4 * -1 + -1z * -1) = -3(-1d + -2) (-4 + 1z) = -3(-1d + -2) Reorder the terms: -4 + 1z = -3(-2 + -1d) -4 + 1z = (-2 * -3 + -1d * -3) -4 + 1z = (6 + 3d) Solving -4 + 1z = 6 + 3d Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1z = 6 + 4 + 3d Combine like terms: -4 + 4 = 0 0 + 1z = 6 + 4 + 3d 1z = 6 + 4 + 3d Combine like terms: 6 + 4 = 10 1z = 10 + 3d Divide each side by '1'. z = 10 + 3d Simplifying z = 10 + 3d
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