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Simplifying 9[z + -1(7z + 60) + 6] = 3(z + 9) Reorder the terms: 9[z + -1(60 + 7z) + 6] = 3(z + 9) 9[z + (60 * -1 + 7z * -1) + 6] = 3(z + 9) 9[z + (-60 + -7z) + 6] = 3(z + 9) Reorder the terms: 9[-60 + 6 + z + -7z] = 3(z + 9) Combine like terms: -60 + 6 = -54 9[-54 + z + -7z] = 3(z + 9) Combine like terms: z + -7z = -6z 9[-54 + -6z] = 3(z + 9) [-54 * 9 + -6z * 9] = 3(z + 9) [-486 + -54z] = 3(z + 9) Reorder the terms: -486 + -54z = 3(9 + z) -486 + -54z = (9 * 3 + z * 3) -486 + -54z = (27 + 3z) Solving -486 + -54z = 27 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -486 + -54z + -3z = 27 + 3z + -3z Combine like terms: -54z + -3z = -57z -486 + -57z = 27 + 3z + -3z Combine like terms: 3z + -3z = 0 -486 + -57z = 27 + 0 -486 + -57z = 27 Add '486' to each side of the equation. -486 + 486 + -57z = 27 + 486 Combine like terms: -486 + 486 = 0 0 + -57z = 27 + 486 -57z = 27 + 486 Combine like terms: 27 + 486 = 513 -57z = 513 Divide each side by '-57'. z = -9 Simplifying z = -9
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