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Simplifying 7z + -9 + -4z = 7 + 2z + -10 Reorder the terms: -9 + 7z + -4z = 7 + 2z + -10 Combine like terms: 7z + -4z = 3z -9 + 3z = 7 + 2z + -10 Reorder the terms: -9 + 3z = 7 + -10 + 2z Combine like terms: 7 + -10 = -3 -9 + 3z = -3 + 2z Solving -9 + 3z = -3 + 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. -9 + 3z + -2z = -3 + 2z + -2z Combine like terms: 3z + -2z = 1z -9 + 1z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -9 + 1z = -3 + 0 -9 + 1z = -3 Add '9' to each side of the equation. -9 + 9 + 1z = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = -3 + 9 1z = -3 + 9 Combine like terms: -3 + 9 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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