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Simplifying 8(z + -4) = 5(13 + z) Reorder the terms: 8(-4 + z) = 5(13 + z) (-4 * 8 + z * 8) = 5(13 + z) (-32 + 8z) = 5(13 + z) -32 + 8z = (13 * 5 + z * 5) -32 + 8z = (65 + 5z) Solving -32 + 8z = 65 + 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. -32 + 8z + -5z = 65 + 5z + -5z Combine like terms: 8z + -5z = 3z -32 + 3z = 65 + 5z + -5z Combine like terms: 5z + -5z = 0 -32 + 3z = 65 + 0 -32 + 3z = 65 Add '32' to each side of the equation. -32 + 32 + 3z = 65 + 32 Combine like terms: -32 + 32 = 0 0 + 3z = 65 + 32 3z = 65 + 32 Combine like terms: 65 + 32 = 97 3z = 97 Divide each side by '3'. z = 32.33333333 Simplifying z = 32.33333333
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