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Simplifying 9 + -2z + -10 = 7 + -3z Reorder the terms: 9 + -10 + -2z = 7 + -3z Combine like terms: 9 + -10 = -1 -1 + -2z = 7 + -3z Solving -1 + -2z = 7 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -1 + -2z + 3z = 7 + -3z + 3z Combine like terms: -2z + 3z = 1z -1 + 1z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 -1 + 1z = 7 + 0 -1 + 1z = 7 Add '1' to each side of the equation. -1 + 1 + 1z = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = 7 + 1 1z = 7 + 1 Combine like terms: 7 + 1 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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