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Simplifying 15z(-5z + 11) + -10z = 25z(-3z + -15) Reorder the terms: 15z(11 + -5z) + -10z = 25z(-3z + -15) (11 * 15z + -5z * 15z) + -10z = 25z(-3z + -15) (165z + -75z2) + -10z = 25z(-3z + -15) Reorder the terms: 165z + -10z + -75z2 = 25z(-3z + -15) Combine like terms: 165z + -10z = 155z 155z + -75z2 = 25z(-3z + -15) Reorder the terms: 155z + -75z2 = 25z(-15 + -3z) 155z + -75z2 = (-15 * 25z + -3z * 25z) 155z + -75z2 = (-375z + -75z2) Add '75z2' to each side of the equation. 155z + -75z2 + 75z2 = -375z + -75z2 + 75z2 Combine like terms: -75z2 + 75z2 = 0 155z + 0 = -375z + -75z2 + 75z2 155z = -375z + -75z2 + 75z2 Combine like terms: -75z2 + 75z2 = 0 155z = -375z + 0 155z = -375z Solving 155z = -375z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '375z' to each side of the equation. 155z + 375z = -375z + 375z Combine like terms: 155z + 375z = 530z 530z = -375z + 375z Combine like terms: -375z + 375z = 0 530z = 0 Divide each side by '530'. z = 0.0 Simplifying z = 0.0
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