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Simplifying 3[z + -1(6z + 15) + 5] = 3(z + 2) Reorder the terms: 3[z + -1(15 + 6z) + 5] = 3(z + 2) 3[z + (15 * -1 + 6z * -1) + 5] = 3(z + 2) 3[z + (-15 + -6z) + 5] = 3(z + 2) Reorder the terms: 3[-15 + 5 + z + -6z] = 3(z + 2) Combine like terms: -15 + 5 = -10 3[-10 + z + -6z] = 3(z + 2) Combine like terms: z + -6z = -5z 3[-10 + -5z] = 3(z + 2) [-10 * 3 + -5z * 3] = 3(z + 2) [-30 + -15z] = 3(z + 2) Reorder the terms: -30 + -15z = 3(2 + z) -30 + -15z = (2 * 3 + z * 3) -30 + -15z = (6 + 3z) Solving -30 + -15z = 6 + 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. -30 + -15z + -3z = 6 + 3z + -3z Combine like terms: -15z + -3z = -18z -30 + -18z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -30 + -18z = 6 + 0 -30 + -18z = 6 Add '30' to each side of the equation. -30 + 30 + -18z = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -18z = 6 + 30 -18z = 6 + 30 Combine like terms: 6 + 30 = 36 -18z = 36 Divide each side by '-18'. z = -2 Simplifying z = -2
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