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