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Simplifying -32 + 7z = 8(5z + -9) Reorder the terms: -32 + 7z = 8(-9 + 5z) -32 + 7z = (-9 * 8 + 5z * 8) -32 + 7z = (-72 + 40z) Solving -32 + 7z = -72 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -32 + 7z + -40z = -72 + 40z + -40z Combine like terms: 7z + -40z = -33z -32 + -33z = -72 + 40z + -40z Combine like terms: 40z + -40z = 0 -32 + -33z = -72 + 0 -32 + -33z = -72 Add '32' to each side of the equation. -32 + 32 + -33z = -72 + 32 Combine like terms: -32 + 32 = 0 0 + -33z = -72 + 32 -33z = -72 + 32 Combine like terms: -72 + 32 = -40 -33z = -40 Divide each side by '-33'. z = 1.212121212 Simplifying z = 1.212121212
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