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Simplifying 4(2z + -3) = 5(z + 12) Reorder the terms: 4(-3 + 2z) = 5(z + 12) (-3 * 4 + 2z * 4) = 5(z + 12) (-12 + 8z) = 5(z + 12) Reorder the terms: -12 + 8z = 5(12 + z) -12 + 8z = (12 * 5 + z * 5) -12 + 8z = (60 + 5z) Solving -12 + 8z = 60 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -12 + 8z + -5z = 60 + 5z + -5z Combine like terms: 8z + -5z = 3z -12 + 3z = 60 + 5z + -5z Combine like terms: 5z + -5z = 0 -12 + 3z = 60 + 0 -12 + 3z = 60 Add '12' to each side of the equation. -12 + 12 + 3z = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 60 + 12 3z = 60 + 12 Combine like terms: 60 + 12 = 72 3z = 72 Divide each side by '3'. z = 24 Simplifying z = 24
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