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Simplifying 2[z + 1] + -3 = -1z + -2 Reorder the terms: 2[1 + z] + -3 = -1z + -2 [1 * 2 + z * 2] + -3 = -1z + -2 [2 + 2z] + -3 = -1z + -2 Reorder the terms: 2 + -3 + 2z = -1z + -2 Combine like terms: 2 + -3 = -1 -1 + 2z = -1z + -2 Reorder the terms: -1 + 2z = -2 + -1z Solving -1 + 2z = -2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + 2z + z = -2 + -1z + z Combine like terms: 2z + z = 3z -1 + 3z = -2 + -1z + z Combine like terms: -1z + z = 0 -1 + 3z = -2 + 0 -1 + 3z = -2 Add '1' to each side of the equation. -1 + 1 + 3z = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = -2 + 1 3z = -2 + 1 Combine like terms: -2 + 1 = -1 3z = -1 Divide each side by '3'. z = -0.3333333333 Simplifying z = -0.3333333333
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