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Simplifying -20 = 4(8z + -2) Reorder the terms: -20 = 4(-2 + 8z) -20 = (-2 * 4 + 8z * 4) -20 = (-8 + 32z) Solving -20 = -8 + 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. -20 + -32z = -8 + 32z + -32z Combine like terms: 32z + -32z = 0 -20 + -32z = -8 + 0 -20 + -32z = -8 Add '20' to each side of the equation. -20 + 20 + -32z = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -32z = -8 + 20 -32z = -8 + 20 Combine like terms: -8 + 20 = 12 -32z = 12 Divide each side by '-32'. z = -0.375 Simplifying z = -0.375
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