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Simplifying 8 + -5(4 + -3z) = 2(4 + -2) * 8z 8 + (4 * -5 + -3z * -5) = 2(4 + -2) * 8z 8 + (-20 + 15z) = 2(4 + -2) * 8z Combine like terms: 8 + -20 = -12 -12 + 15z = 2(4 + -2) * 8z Combine like terms: 4 + -2 = 2 -12 + 15z = 2(2) * 8z Multiply 2 * 2 -12 + 15z = 4 * 8z Multiply 4 * 8 -12 + 15z = 32z Solving -12 + 15z = 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -12 + 15z + -32z = 32z + -32z Combine like terms: 15z + -32z = -17z -12 + -17z = 32z + -32z Combine like terms: 32z + -32z = 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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