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Simplifying -20 + -20z + -20 = -5(11z + -19) + 20z Reorder the terms: -20 + -20 + -20z = -5(11z + -19) + 20z Combine like terms: -20 + -20 = -40 -40 + -20z = -5(11z + -19) + 20z Reorder the terms: -40 + -20z = -5(-19 + 11z) + 20z -40 + -20z = (-19 * -5 + 11z * -5) + 20z -40 + -20z = (95 + -55z) + 20z Combine like terms: -55z + 20z = -35z -40 + -20z = 95 + -35z Solving -40 + -20z = 95 + -35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35z' to each side of the equation. -40 + -20z + 35z = 95 + -35z + 35z Combine like terms: -20z + 35z = 15z -40 + 15z = 95 + -35z + 35z Combine like terms: -35z + 35z = 0 -40 + 15z = 95 + 0 -40 + 15z = 95 Add '40' to each side of the equation. -40 + 40 + 15z = 95 + 40 Combine like terms: -40 + 40 = 0 0 + 15z = 95 + 40 15z = 95 + 40 Combine like terms: 95 + 40 = 135 15z = 135 Divide each side by '15'. z = 9 Simplifying z = 9
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