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Simplifying 18z + 25z = 14 + -1(-11z + -14) + (-20z + 19) Combine like terms: 18z + 25z = 43z 43z = 14 + -1(-11z + -14) + (-20z + 19) Reorder the terms: 43z = 14 + -1(-14 + -11z) + (-20z + 19) 43z = 14 + (-14 * -1 + -11z * -1) + (-20z + 19) 43z = 14 + (14 + 11z) + (-20z + 19) Reorder the terms: 43z = 14 + 14 + 11z + (19 + -20z) Remove parenthesis around (19 + -20z) 43z = 14 + 14 + 11z + 19 + -20z Reorder the terms: 43z = 14 + 14 + 19 + 11z + -20z Combine like terms: 14 + 14 = 28 43z = 28 + 19 + 11z + -20z Combine like terms: 28 + 19 = 47 43z = 47 + 11z + -20z Combine like terms: 11z + -20z = -9z 43z = 47 + -9z Solving 43z = 47 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 43z + 9z = 47 + -9z + 9z Combine like terms: 43z + 9z = 52z 52z = 47 + -9z + 9z Combine like terms: -9z + 9z = 0 52z = 47 + 0 52z = 47 Divide each side by '52'. z = 0.9038461538 Simplifying z = 0.9038461538
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