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Simplifying 4(2z + -3) = 5(7z + 4) Reorder the terms: 4(-3 + 2z) = 5(7z + 4) (-3 * 4 + 2z * 4) = 5(7z + 4) (-12 + 8z) = 5(7z + 4) Reorder the terms: -12 + 8z = 5(4 + 7z) -12 + 8z = (4 * 5 + 7z * 5) -12 + 8z = (20 + 35z) Solving -12 + 8z = 20 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -12 + 8z + -35z = 20 + 35z + -35z Combine like terms: 8z + -35z = -27z -12 + -27z = 20 + 35z + -35z Combine like terms: 35z + -35z = 0 -12 + -27z = 20 + 0 -12 + -27z = 20 Add '12' to each side of the equation. -12 + 12 + -27z = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -27z = 20 + 12 -27z = 20 + 12 Combine like terms: 20 + 12 = 32 -27z = 32 Divide each side by '-27'. z = -1.185185185 Simplifying z = -1.185185185
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