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Simplifying -18z(5z + -15) = -17(7z + 2) + -45z(2z + 2) Reorder the terms: -18z(-15 + 5z) = -17(7z + 2) + -45z(2z + 2) (-15 * -18z + 5z * -18z) = -17(7z + 2) + -45z(2z + 2) (270z + -90z2) = -17(7z + 2) + -45z(2z + 2) Reorder the terms: 270z + -90z2 = -17(2 + 7z) + -45z(2z + 2) 270z + -90z2 = (2 * -17 + 7z * -17) + -45z(2z + 2) 270z + -90z2 = (-34 + -119z) + -45z(2z + 2) Reorder the terms: 270z + -90z2 = -34 + -119z + -45z(2 + 2z) 270z + -90z2 = -34 + -119z + (2 * -45z + 2z * -45z) 270z + -90z2 = -34 + -119z + (-90z + -90z2) Combine like terms: -119z + -90z = -209z 270z + -90z2 = -34 + -209z + -90z2 Add '90z2' to each side of the equation. 270z + -90z2 + 90z2 = -34 + -209z + -90z2 + 90z2 Combine like terms: -90z2 + 90z2 = 0 270z + 0 = -34 + -209z + -90z2 + 90z2 270z = -34 + -209z + -90z2 + 90z2 Combine like terms: -90z2 + 90z2 = 0 270z = -34 + -209z + 0 270z = -34 + -209z Solving 270z = -34 + -209z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '209z' to each side of the equation. 270z + 209z = -34 + -209z + 209z Combine like terms: 270z + 209z = 479z 479z = -34 + -209z + 209z Combine like terms: -209z + 209z = 0 479z = -34 + 0 479z = -34 Divide each side by '479'. z = -0.07098121086 Simplifying z = -0.07098121086
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