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Simplifying 122 + -9 + -10z + 3 + -8z = z + -9 + 3z + 10 + -10z Reorder the terms: 122 + -9 + 3 + -10z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: 122 + -9 = 113 113 + 3 + -10z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: 113 + 3 = 116 116 + -10z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: -10z + -8z = -18z 116 + -18z = z + -9 + 3z + 10 + -10z Reorder the terms: 116 + -18z = -9 + 10 + z + 3z + -10z Combine like terms: -9 + 10 = 1 116 + -18z = 1 + z + 3z + -10z Combine like terms: z + 3z = 4z 116 + -18z = 1 + 4z + -10z Combine like terms: 4z + -10z = -6z 116 + -18z = 1 + -6z Solving 116 + -18z = 1 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 116 + -18z + 6z = 1 + -6z + 6z Combine like terms: -18z + 6z = -12z 116 + -12z = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 116 + -12z = 1 + 0 116 + -12z = 1 Add '-116' to each side of the equation. 116 + -116 + -12z = 1 + -116 Combine like terms: 116 + -116 = 0 0 + -12z = 1 + -116 -12z = 1 + -116 Combine like terms: 1 + -116 = -115 -12z = -115 Divide each side by '-12'. z = 9.583333333 Simplifying z = 9.583333333
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