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Simplifying 3[z + -1(3z + 18) + 8] = 5(z + 5) Reorder the terms: 3[z + -1(18 + 3z) + 8] = 5(z + 5) 3[z + (18 * -1 + 3z * -1) + 8] = 5(z + 5) 3[z + (-18 + -3z) + 8] = 5(z + 5) Reorder the terms: 3[-18 + 8 + z + -3z] = 5(z + 5) Combine like terms: -18 + 8 = -10 3[-10 + z + -3z] = 5(z + 5) Combine like terms: z + -3z = -2z 3[-10 + -2z] = 5(z + 5) [-10 * 3 + -2z * 3] = 5(z + 5) [-30 + -6z] = 5(z + 5) Reorder the terms: -30 + -6z = 5(5 + z) -30 + -6z = (5 * 5 + z * 5) -30 + -6z = (25 + 5z) Solving -30 + -6z = 25 + 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. -30 + -6z + -5z = 25 + 5z + -5z Combine like terms: -6z + -5z = -11z -30 + -11z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -30 + -11z = 25 + 0 -30 + -11z = 25 Add '30' to each side of the equation. -30 + 30 + -11z = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -11z = 25 + 30 -11z = 25 + 30 Combine like terms: 25 + 30 = 55 -11z = 55 Divide each side by '-11'. z = -5 Simplifying z = -5
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