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Simplifying 9[z + -1(3z + 19) + 3] = 5(z + 8) Reorder the terms: 9[z + -1(19 + 3z) + 3] = 5(z + 8) 9[z + (19 * -1 + 3z * -1) + 3] = 5(z + 8) 9[z + (-19 + -3z) + 3] = 5(z + 8) Reorder the terms: 9[-19 + 3 + z + -3z] = 5(z + 8) Combine like terms: -19 + 3 = -16 9[-16 + z + -3z] = 5(z + 8) Combine like terms: z + -3z = -2z 9[-16 + -2z] = 5(z + 8) [-16 * 9 + -2z * 9] = 5(z + 8) [-144 + -18z] = 5(z + 8) Reorder the terms: -144 + -18z = 5(8 + z) -144 + -18z = (8 * 5 + z * 5) -144 + -18z = (40 + 5z) Solving -144 + -18z = 40 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -144 + -18z + -5z = 40 + 5z + -5z Combine like terms: -18z + -5z = -23z -144 + -23z = 40 + 5z + -5z Combine like terms: 5z + -5z = 0 -144 + -23z = 40 + 0 -144 + -23z = 40 Add '144' to each side of the equation. -144 + 144 + -23z = 40 + 144 Combine like terms: -144 + 144 = 0 0 + -23z = 40 + 144 -23z = 40 + 144 Combine like terms: 40 + 144 = 184 -23z = 184 Divide each side by '-23'. z = -8 Simplifying z = -8
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