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Simplifying 34 = -7(z + 3) Reorder the terms: 34 = -7(3 + z) 34 = (3 * -7 + z * -7) 34 = (-21 + -7z) Solving 34 = -21 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 34 + 7z = -21 + -7z + 7z Combine like terms: -7z + 7z = 0 34 + 7z = -21 + 0 34 + 7z = -21 Add '-34' to each side of the equation. 34 + -34 + 7z = -21 + -34 Combine like terms: 34 + -34 = 0 0 + 7z = -21 + -34 7z = -21 + -34 Combine like terms: -21 + -34 = -55 7z = -55 Divide each side by '7'. z = -7.857142857 Simplifying z = -7.857142857
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