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Simplifying 12z + -1(3z + 1) + -1(2z + -35) = z + 58 Reorder the terms: 12z + -1(1 + 3z) + -1(2z + -35) = z + 58 12z + (1 * -1 + 3z * -1) + -1(2z + -35) = z + 58 12z + (-1 + -3z) + -1(2z + -35) = z + 58 Reorder the terms: 12z + -1 + -3z + -1(-35 + 2z) = z + 58 12z + -1 + -3z + (-35 * -1 + 2z * -1) = z + 58 12z + -1 + -3z + (35 + -2z) = z + 58 Reorder the terms: -1 + 35 + 12z + -3z + -2z = z + 58 Combine like terms: -1 + 35 = 34 34 + 12z + -3z + -2z = z + 58 Combine like terms: 12z + -3z = 9z 34 + 9z + -2z = z + 58 Combine like terms: 9z + -2z = 7z 34 + 7z = z + 58 Reorder the terms: 34 + 7z = 58 + z Solving 34 + 7z = 58 + 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. 34 + 7z + -1z = 58 + z + -1z Combine like terms: 7z + -1z = 6z 34 + 6z = 58 + z + -1z Combine like terms: z + -1z = 0 34 + 6z = 58 + 0 34 + 6z = 58 Add '-34' to each side of the equation. 34 + -34 + 6z = 58 + -34 Combine like terms: 34 + -34 = 0 0 + 6z = 58 + -34 6z = 58 + -34 Combine like terms: 58 + -34 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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