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Simplifying 3[z + -1(5z + 17) + 5] = 5(z + 3) Reorder the terms: 3[z + -1(17 + 5z) + 5] = 5(z + 3) 3[z + (17 * -1 + 5z * -1) + 5] = 5(z + 3) 3[z + (-17 + -5z) + 5] = 5(z + 3) Reorder the terms: 3[-17 + 5 + z + -5z] = 5(z + 3) Combine like terms: -17 + 5 = -12 3[-12 + z + -5z] = 5(z + 3) Combine like terms: z + -5z = -4z 3[-12 + -4z] = 5(z + 3) [-12 * 3 + -4z * 3] = 5(z + 3) [-36 + -12z] = 5(z + 3) Reorder the terms: -36 + -12z = 5(3 + z) -36 + -12z = (3 * 5 + z * 5) -36 + -12z = (15 + 5z) Solving -36 + -12z = 15 + 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. -36 + -12z + -5z = 15 + 5z + -5z Combine like terms: -12z + -5z = -17z -36 + -17z = 15 + 5z + -5z Combine like terms: 5z + -5z = 0 -36 + -17z = 15 + 0 -36 + -17z = 15 Add '36' to each side of the equation. -36 + 36 + -17z = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -17z = 15 + 36 -17z = 15 + 36 Combine like terms: 15 + 36 = 51 -17z = 51 Divide each side by '-17'. z = -3 Simplifying z = -3
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