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Simplifying 8(1 + 5z) + 5 = 13 + 5z (1 * 8 + 5z * 8) + 5 = 13 + 5z (8 + 40z) + 5 = 13 + 5z Reorder the terms: 8 + 5 + 40z = 13 + 5z Combine like terms: 8 + 5 = 13 13 + 40z = 13 + 5z Add '-13' to each side of the equation. 13 + -13 + 40z = 13 + -13 + 5z Combine like terms: 13 + -13 = 0 0 + 40z = 13 + -13 + 5z 40z = 13 + -13 + 5z Combine like terms: 13 + -13 = 0 40z = 0 + 5z 40z = 5z Solving 40z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 40z + -5z = 5z + -5z Combine like terms: 40z + -5z = 35z 35z = 5z + -5z Combine like terms: 5z + -5z = 0 35z = 0 Divide each side by '35'. z = 0 Simplifying z = 0
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