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Simplifying 4[Z + -1(10Z + 59) + 5] = 3(Z + 6) Reorder the terms: 4[Z + -1(59 + 10Z) + 5] = 3(Z + 6) 4[Z + (59 * -1 + 10Z * -1) + 5] = 3(Z + 6) 4[Z + (-59 + -10Z) + 5] = 3(Z + 6) Reorder the terms: 4[-59 + 5 + Z + -10Z] = 3(Z + 6) Combine like terms: -59 + 5 = -54 4[-54 + Z + -10Z] = 3(Z + 6) Combine like terms: Z + -10Z = -9Z 4[-54 + -9Z] = 3(Z + 6) [-54 * 4 + -9Z * 4] = 3(Z + 6) [-216 + -36Z] = 3(Z + 6) Reorder the terms: -216 + -36Z = 3(6 + Z) -216 + -36Z = (6 * 3 + Z * 3) -216 + -36Z = (18 + 3Z) Solving -216 + -36Z = 18 + 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 + -36Z + -3Z = 18 + 3Z + -3Z Combine like terms: -36Z + -3Z = -39Z -216 + -39Z = 18 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 -216 + -39Z = 18 + 0 -216 + -39Z = 18 Add '216' to each side of the equation. -216 + 216 + -39Z = 18 + 216 Combine like terms: -216 + 216 = 0 0 + -39Z = 18 + 216 -39Z = 18 + 216 Combine like terms: 18 + 216 = 234 -39Z = 234 Divide each side by '-39'. Z = -6 Simplifying Z = -6
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