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Simplifying 10z + -3 = 12z + -7 Reorder the terms: -3 + 10z = 12z + -7 Reorder the terms: -3 + 10z = -7 + 12z Solving -3 + 10z = -7 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -3 + 10z + -12z = -7 + 12z + -12z Combine like terms: 10z + -12z = -2z -3 + -2z = -7 + 12z + -12z Combine like terms: 12z + -12z = 0 -3 + -2z = -7 + 0 -3 + -2z = -7 Add '3' to each side of the equation. -3 + 3 + -2z = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = -7 + 3 -2z = -7 + 3 Combine like terms: -7 + 3 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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