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Simplifying 2(z + -12) + -1 * 2 = z + -25 + z * 2 Reorder the terms: 2(-12 + z) + -1 * 2 = z + -25 + z * 2 (-12 * 2 + z * 2) + -1 * 2 = z + -25 + z * 2 (-24 + 2z) + -1 * 2 = z + -25 + z * 2 Multiply -1 * 2 -24 + 2z + -2 = z + -25 + z * 2 Reorder the terms: -24 + -2 + 2z = z + -25 + z * 2 Combine like terms: -24 + -2 = -26 -26 + 2z = z + -25 + z * 2 Reorder the terms for easier multiplication: -26 + 2z = z + -25 + 2z Reorder the terms: -26 + 2z = -25 + z + 2z Combine like terms: z + 2z = 3z -26 + 2z = -25 + 3z Solving -26 + 2z = -25 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -26 + 2z + -3z = -25 + 3z + -3z Combine like terms: 2z + -3z = -1z -26 + -1z = -25 + 3z + -3z Combine like terms: 3z + -3z = 0 -26 + -1z = -25 + 0 -26 + -1z = -25 Add '26' to each side of the equation. -26 + 26 + -1z = -25 + 26 Combine like terms: -26 + 26 = 0 0 + -1z = -25 + 26 -1z = -25 + 26 Combine like terms: -25 + 26 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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