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Simplifying -6z + -16 = 4z + 34 Reorder the terms: -16 + -6z = 4z + 34 Reorder the terms: -16 + -6z = 34 + 4z Solving -16 + -6z = 34 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -16 + -6z + -4z = 34 + 4z + -4z Combine like terms: -6z + -4z = -10z -16 + -10z = 34 + 4z + -4z Combine like terms: 4z + -4z = 0 -16 + -10z = 34 + 0 -16 + -10z = 34 Add '16' to each side of the equation. -16 + 16 + -10z = 34 + 16 Combine like terms: -16 + 16 = 0 0 + -10z = 34 + 16 -10z = 34 + 16 Combine like terms: 34 + 16 = 50 -10z = 50 Divide each side by '-10'. z = -5 Simplifying z = -5
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