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Simplifying 5z + -12 + -2z = -40 + -8z + -9 Reorder the terms: -12 + 5z + -2z = -40 + -8z + -9 Combine like terms: 5z + -2z = 3z -12 + 3z = -40 + -8z + -9 Reorder the terms: -12 + 3z = -40 + -9 + -8z Combine like terms: -40 + -9 = -49 -12 + 3z = -49 + -8z Solving -12 + 3z = -49 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -12 + 3z + 8z = -49 + -8z + 8z Combine like terms: 3z + 8z = 11z -12 + 11z = -49 + -8z + 8z Combine like terms: -8z + 8z = 0 -12 + 11z = -49 + 0 -12 + 11z = -49 Add '12' to each side of the equation. -12 + 12 + 11z = -49 + 12 Combine like terms: -12 + 12 = 0 0 + 11z = -49 + 12 11z = -49 + 12 Combine like terms: -49 + 12 = -37 11z = -37 Divide each side by '11'. z = -3.363636364 Simplifying z = -3.363636364
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