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Simplifying 3z + -6 + 1 = -2 + -5 + 5z Reorder the terms: -6 + 1 + 3z = -2 + -5 + 5z Combine like terms: -6 + 1 = -5 -5 + 3z = -2 + -5 + 5z Combine like terms: -2 + -5 = -7 -5 + 3z = -7 + 5z Solving -5 + 3z = -7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5 + 3z + -5z = -7 + 5z + -5z Combine like terms: 3z + -5z = -2z -5 + -2z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 -5 + -2z = -7 + 0 -5 + -2z = -7 Add '5' to each side of the equation. -5 + 5 + -2z = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2z = -7 + 5 -2z = -7 + 5 Combine like terms: -7 + 5 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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