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Simplifying 2(z + -12) + -1 = 2 + -25 + z Reorder the terms: 2(-12 + z) + -1 = 2 + -25 + z (-12 * 2 + z * 2) + -1 = 2 + -25 + z (-24 + 2z) + -1 = 2 + -25 + z Reorder the terms: -24 + -1 + 2z = 2 + -25 + z Combine like terms: -24 + -1 = -25 -25 + 2z = 2 + -25 + z Combine like terms: 2 + -25 = -23 -25 + 2z = -23 + z Solving -25 + 2z = -23 + 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. -25 + 2z + -1z = -23 + z + -1z Combine like terms: 2z + -1z = 1z -25 + 1z = -23 + z + -1z Combine like terms: z + -1z = 0 -25 + 1z = -23 + 0 -25 + 1z = -23 Add '25' to each side of the equation. -25 + 25 + 1z = -23 + 25 Combine like terms: -25 + 25 = 0 0 + 1z = -23 + 25 1z = -23 + 25 Combine like terms: -23 + 25 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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