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Simplifying -1(z + 1) + 2(z + -2) = 0 Reorder the terms: -1(1 + z) + 2(z + -2) = 0 (1 * -1 + z * -1) + 2(z + -2) = 0 (-1 + -1z) + 2(z + -2) = 0 Reorder the terms: -1 + -1z + 2(-2 + z) = 0 -1 + -1z + (-2 * 2 + z * 2) = 0 -1 + -1z + (-4 + 2z) = 0 Reorder the terms: -1 + -4 + -1z + 2z = 0 Combine like terms: -1 + -4 = -5 -5 + -1z + 2z = 0 Combine like terms: -1z + 2z = 1z -5 + 1z = 0 Solving -5 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 0 + 5 1z = 0 + 5 Combine like terms: 0 + 5 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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