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Simplifying 8(z + 6) + -2z = 34 Reorder the terms: 8(6 + z) + -2z = 34 (6 * 8 + z * 8) + -2z = 34 (48 + 8z) + -2z = 34 Combine like terms: 8z + -2z = 6z 48 + 6z = 34 Solving 48 + 6z = 34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6z = 34 + -48 Combine like terms: 48 + -48 = 0 0 + 6z = 34 + -48 6z = 34 + -48 Combine like terms: 34 + -48 = -14 6z = -14 Divide each side by '6'. z = -2.333333333 Simplifying z = -2.333333333
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