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Simplifying 8 + -5(4 + -3z) = 2(4 + -1z) + -8 8 + (4 * -5 + -3z * -5) = 2(4 + -1z) + -8 8 + (-20 + 15z) = 2(4 + -1z) + -8 Combine like terms: 8 + -20 = -12 -12 + 15z = 2(4 + -1z) + -8 -12 + 15z = (4 * 2 + -1z * 2) + -8 -12 + 15z = (8 + -2z) + -8 Reorder the terms: -12 + 15z = 8 + -8 + -2z Combine like terms: 8 + -8 = 0 -12 + 15z = 0 + -2z -12 + 15z = -2z Solving -12 + 15z = -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. -12 + 15z + 2z = -2z + 2z Combine like terms: 15z + 2z = 17z -12 + 17z = -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 17z = 0 Add '12' to each side of the equation. -12 + 12 + 17z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17z = 0 + 12 17z = 0 + 12 Combine like terms: 0 + 12 = 12 17z = 12 Divide each side by '17'. z = 0.7058823529 Simplifying z = 0.7058823529
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