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Simplifying 8[z + -1(7z + 59) + 5] = 3(z + 9) Reorder the terms: 8[z + -1(59 + 7z) + 5] = 3(z + 9) 8[z + (59 * -1 + 7z * -1) + 5] = 3(z + 9) 8[z + (-59 + -7z) + 5] = 3(z + 9) Reorder the terms: 8[-59 + 5 + z + -7z] = 3(z + 9) Combine like terms: -59 + 5 = -54 8[-54 + z + -7z] = 3(z + 9) Combine like terms: z + -7z = -6z 8[-54 + -6z] = 3(z + 9) [-54 * 8 + -6z * 8] = 3(z + 9) [-432 + -48z] = 3(z + 9) Reorder the terms: -432 + -48z = 3(9 + z) -432 + -48z = (9 * 3 + z * 3) -432 + -48z = (27 + 3z) Solving -432 + -48z = 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. -432 + -48z + -3z = 27 + 3z + -3z Combine like terms: -48z + -3z = -51z -432 + -51z = 27 + 3z + -3z Combine like terms: 3z + -3z = 0 -432 + -51z = 27 + 0 -432 + -51z = 27 Add '432' to each side of the equation. -432 + 432 + -51z = 27 + 432 Combine like terms: -432 + 432 = 0 0 + -51z = 27 + 432 -51z = 27 + 432 Combine like terms: 27 + 432 = 459 -51z = 459 Divide each side by '-51'. z = -9 Simplifying z = -9
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