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Simplifying 34 = 7 + 6(z + -4) Reorder the terms: 34 = 7 + 6(-4 + z) 34 = 7 + (-4 * 6 + z * 6) 34 = 7 + (-24 + 6z) Combine like terms: 7 + -24 = -17 34 = -17 + 6z Solving 34 = -17 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 34 + -6z = -17 + 6z + -6z Combine like terms: 6z + -6z = 0 34 + -6z = -17 + 0 34 + -6z = -17 Add '-34' to each side of the equation. 34 + -34 + -6z = -17 + -34 Combine like terms: 34 + -34 = 0 0 + -6z = -17 + -34 -6z = -17 + -34 Combine like terms: -17 + -34 = -51 -6z = -51 Divide each side by '-6'. z = 8.5 Simplifying z = 8.5
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