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Simplifying 8z + -3(4z + 5) = 1 Reorder the terms: 8z + -3(5 + 4z) = 1 8z + (5 * -3 + 4z * -3) = 1 8z + (-15 + -12z) = 1 Reorder the terms: -15 + 8z + -12z = 1 Combine like terms: 8z + -12z = -4z -15 + -4z = 1 Solving -15 + -4z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4z = 1 + 15 -4z = 1 + 15 Combine like terms: 1 + 15 = 16 -4z = 16 Divide each side by '-4'. z = -4 Simplifying z = -4
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