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Simplifying -11 + 10(z + 10) = 4 + -5(2z + 11) Reorder the terms: -11 + 10(10 + z) = 4 + -5(2z + 11) -11 + (10 * 10 + z * 10) = 4 + -5(2z + 11) -11 + (100 + 10z) = 4 + -5(2z + 11) Combine like terms: -11 + 100 = 89 89 + 10z = 4 + -5(2z + 11) Reorder the terms: 89 + 10z = 4 + -5(11 + 2z) 89 + 10z = 4 + (11 * -5 + 2z * -5) 89 + 10z = 4 + (-55 + -10z) Combine like terms: 4 + -55 = -51 89 + 10z = -51 + -10z Solving 89 + 10z = -51 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 89 + 10z + 10z = -51 + -10z + 10z Combine like terms: 10z + 10z = 20z 89 + 20z = -51 + -10z + 10z Combine like terms: -10z + 10z = 0 89 + 20z = -51 + 0 89 + 20z = -51 Add '-89' to each side of the equation. 89 + -89 + 20z = -51 + -89 Combine like terms: 89 + -89 = 0 0 + 20z = -51 + -89 20z = -51 + -89 Combine like terms: -51 + -89 = -140 20z = -140 Divide each side by '20'. z = -7 Simplifying z = -7
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