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Simplifying 4[z + -1(7z + 59) + 5] = 3(z + 9) Reorder the terms: 4[z + -1(59 + 7z) + 5] = 3(z + 9) 4[z + (59 * -1 + 7z * -1) + 5] = 3(z + 9) 4[z + (-59 + -7z) + 5] = 3(z + 9) Reorder the terms: 4[-59 + 5 + z + -7z] = 3(z + 9) Combine like terms: -59 + 5 = -54 4[-54 + z + -7z] = 3(z + 9) Combine like terms: z + -7z = -6z 4[-54 + -6z] = 3(z + 9) [-54 * 4 + -6z * 4] = 3(z + 9) [-216 + -24z] = 3(z + 9) Reorder the terms: -216 + -24z = 3(9 + z) -216 + -24z = (9 * 3 + z * 3) -216 + -24z = (27 + 3z) Solving -216 + -24z = 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. -216 + -24z + -3z = 27 + 3z + -3z Combine like terms: -24z + -3z = -27z -216 + -27z = 27 + 3z + -3z Combine like terms: 3z + -3z = 0 -216 + -27z = 27 + 0 -216 + -27z = 27 Add '216' to each side of the equation. -216 + 216 + -27z = 27 + 216 Combine like terms: -216 + 216 = 0 0 + -27z = 27 + 216 -27z = 27 + 216 Combine like terms: 27 + 216 = 243 -27z = 243 Divide each side by '-27'. z = -9 Simplifying z = -9
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