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Simplifying 10z + 40 + -4z + 4 = 3z + -9 + 2z + -6 Reorder the terms: 40 + 4 + 10z + -4z = 3z + -9 + 2z + -6 Combine like terms: 40 + 4 = 44 44 + 10z + -4z = 3z + -9 + 2z + -6 Combine like terms: 10z + -4z = 6z 44 + 6z = 3z + -9 + 2z + -6 Reorder the terms: 44 + 6z = -9 + -6 + 3z + 2z Combine like terms: -9 + -6 = -15 44 + 6z = -15 + 3z + 2z Combine like terms: 3z + 2z = 5z 44 + 6z = -15 + 5z Solving 44 + 6z = -15 + 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. 44 + 6z + -5z = -15 + 5z + -5z Combine like terms: 6z + -5z = 1z 44 + 1z = -15 + 5z + -5z Combine like terms: 5z + -5z = 0 44 + 1z = -15 + 0 44 + 1z = -15 Add '-44' to each side of the equation. 44 + -44 + 1z = -15 + -44 Combine like terms: 44 + -44 = 0 0 + 1z = -15 + -44 1z = -15 + -44 Combine like terms: -15 + -44 = -59 1z = -59 Divide each side by '1'. z = -59 Simplifying z = -59
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