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Simplifying 2(5 + -22) = 20 + -2(z + -1) Combine like terms: 5 + -22 = -17 2(-17) = 20 + -2(z + -1) Multiply 2 * -17 -34 = 20 + -2(z + -1) Reorder the terms: -34 = 20 + -2(-1 + z) -34 = 20 + (-1 * -2 + z * -2) -34 = 20 + (2 + -2z) Combine like terms: 20 + 2 = 22 -34 = 22 + -2z Solving -34 = 22 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -34 + 2z = 22 + -2z + 2z Combine like terms: -2z + 2z = 0 -34 + 2z = 22 + 0 -34 + 2z = 22 Add '34' to each side of the equation. -34 + 34 + 2z = 22 + 34 Combine like terms: -34 + 34 = 0 0 + 2z = 22 + 34 2z = 22 + 34 Combine like terms: 22 + 34 = 56 2z = 56 Divide each side by '2'. z = 28 Simplifying z = 28
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