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Simplifying 4(2z + -3) = 20 + -2(2z + 1) Reorder the terms: 4(-3 + 2z) = 20 + -2(2z + 1) (-3 * 4 + 2z * 4) = 20 + -2(2z + 1) (-12 + 8z) = 20 + -2(2z + 1) Reorder the terms: -12 + 8z = 20 + -2(1 + 2z) -12 + 8z = 20 + (1 * -2 + 2z * -2) -12 + 8z = 20 + (-2 + -4z) Combine like terms: 20 + -2 = 18 -12 + 8z = 18 + -4z Solving -12 + 8z = 18 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -12 + 8z + 4z = 18 + -4z + 4z Combine like terms: 8z + 4z = 12z -12 + 12z = 18 + -4z + 4z Combine like terms: -4z + 4z = 0 -12 + 12z = 18 + 0 -12 + 12z = 18 Add '12' to each side of the equation. -12 + 12 + 12z = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 18 + 12 12z = 18 + 12 Combine like terms: 18 + 12 = 30 12z = 30 Divide each side by '12'. z = 2.5 Simplifying z = 2.5
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