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Simplifying -1(2 + 9) + (62 + 1) = -2(z + 1) Combine like terms: 2 + 9 = 11 -1(11) + (62 + 1) = -2(z + 1) Multiply -1 * 11 -11 + (62 + 1) = -2(z + 1) Combine like terms: 62 + 1 = 63 -11 + (63) = -2(z + 1) -11 + 63 = -2(z + 1) Combine like terms: -11 + 63 = 52 52 = -2(z + 1) Reorder the terms: 52 = -2(1 + z) 52 = (1 * -2 + z * -2) 52 = (-2 + -2z) Solving 52 = -2 + -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. 52 + 2z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 52 + 2z = -2 + 0 52 + 2z = -2 Add '-52' to each side of the equation. 52 + -52 + 2z = -2 + -52 Combine like terms: 52 + -52 = 0 0 + 2z = -2 + -52 2z = -2 + -52 Combine like terms: -2 + -52 = -54 2z = -54 Divide each side by '2'. z = -27 Simplifying z = -27
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