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Simplifying 3 + -5(2z + 3) = 5(5z + -2) + -4 Reorder the terms: 3 + -5(3 + 2z) = 5(5z + -2) + -4 3 + (3 * -5 + 2z * -5) = 5(5z + -2) + -4 3 + (-15 + -10z) = 5(5z + -2) + -4 Combine like terms: 3 + -15 = -12 -12 + -10z = 5(5z + -2) + -4 Reorder the terms: -12 + -10z = 5(-2 + 5z) + -4 -12 + -10z = (-2 * 5 + 5z * 5) + -4 -12 + -10z = (-10 + 25z) + -4 Reorder the terms: -12 + -10z = -10 + -4 + 25z Combine like terms: -10 + -4 = -14 -12 + -10z = -14 + 25z Solving -12 + -10z = -14 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. -12 + -10z + -25z = -14 + 25z + -25z Combine like terms: -10z + -25z = -35z -12 + -35z = -14 + 25z + -25z Combine like terms: 25z + -25z = 0 -12 + -35z = -14 + 0 -12 + -35z = -14 Add '12' to each side of the equation. -12 + 12 + -35z = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -35z = -14 + 12 -35z = -14 + 12 Combine like terms: -14 + 12 = -2 -35z = -2 Divide each side by '-35'. z = 0.05714285714 Simplifying z = 0.05714285714
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