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Simplifying 4(2z + -3) + 5 = -2(z + 6) Reorder the terms: 4(-3 + 2z) + 5 = -2(z + 6) (-3 * 4 + 2z * 4) + 5 = -2(z + 6) (-12 + 8z) + 5 = -2(z + 6) Reorder the terms: -12 + 5 + 8z = -2(z + 6) Combine like terms: -12 + 5 = -7 -7 + 8z = -2(z + 6) Reorder the terms: -7 + 8z = -2(6 + z) -7 + 8z = (6 * -2 + z * -2) -7 + 8z = (-12 + -2z) Solving -7 + 8z = -12 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -7 + 8z + 2z = -12 + -2z + 2z Combine like terms: 8z + 2z = 10z -7 + 10z = -12 + -2z + 2z Combine like terms: -2z + 2z = 0 -7 + 10z = -12 + 0 -7 + 10z = -12 Add '7' to each side of the equation. -7 + 7 + 10z = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 10z = -12 + 7 10z = -12 + 7 Combine like terms: -12 + 7 = -5 10z = -5 Divide each side by '10'. z = -0.5 Simplifying z = -0.5
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