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Simplifying 3z + -4 = 5z + -6 Reorder the terms: -4 + 3z = 5z + -6 Reorder the terms: -4 + 3z = -6 + 5z Solving -4 + 3z = -6 + 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. -4 + 3z + -5z = -6 + 5z + -5z Combine like terms: 3z + -5z = -2z -4 + -2z = -6 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -2z = -6 + 0 -4 + -2z = -6 Add '4' to each side of the equation. -4 + 4 + -2z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = -6 + 4 -2z = -6 + 4 Combine like terms: -6 + 4 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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