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Simplifying 3z + -10 = 5z + -12 Reorder the terms: -10 + 3z = 5z + -12 Reorder the terms: -10 + 3z = -12 + 5z Solving -10 + 3z = -12 + 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. -10 + 3z + -5z = -12 + 5z + -5z Combine like terms: 3z + -5z = -2z -10 + -2z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 -10 + -2z = -12 + 0 -10 + -2z = -12 Add '10' to each side of the equation. -10 + 10 + -2z = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2z = -12 + 10 -2z = -12 + 10 Combine like terms: -12 + 10 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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