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Simplifying -2 + -5(4z + -2) = (-9z + 3) + -9 Reorder the terms: -2 + -5(-2 + 4z) = (-9z + 3) + -9 -2 + (-2 * -5 + 4z * -5) = (-9z + 3) + -9 -2 + (10 + -20z) = (-9z + 3) + -9 Combine like terms: -2 + 10 = 8 8 + -20z = (-9z + 3) + -9 Reorder the terms: 8 + -20z = (3 + -9z) + -9 Remove parenthesis around (3 + -9z) 8 + -20z = 3 + -9z + -9 Reorder the terms: 8 + -20z = 3 + -9 + -9z Combine like terms: 3 + -9 = -6 8 + -20z = -6 + -9z Solving 8 + -20z = -6 + -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. 8 + -20z + 9z = -6 + -9z + 9z Combine like terms: -20z + 9z = -11z 8 + -11z = -6 + -9z + 9z Combine like terms: -9z + 9z = 0 8 + -11z = -6 + 0 8 + -11z = -6 Add '-8' to each side of the equation. 8 + -8 + -11z = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -11z = -6 + -8 -11z = -6 + -8 Combine like terms: -6 + -8 = -14 -11z = -14 Divide each side by '-11'. z = 1.272727273 Simplifying z = 1.272727273
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