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