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Simplifying 8[z + -1(9z + 23) + 7] = 3z + 2 Reorder the terms: 8[z + -1(23 + 9z) + 7] = 3z + 2 8[z + (23 * -1 + 9z * -1) + 7] = 3z + 2 8[z + (-23 + -9z) + 7] = 3z + 2 Reorder the terms: 8[-23 + 7 + z + -9z] = 3z + 2 Combine like terms: -23 + 7 = -16 8[-16 + z + -9z] = 3z + 2 Combine like terms: z + -9z = -8z 8[-16 + -8z] = 3z + 2 [-16 * 8 + -8z * 8] = 3z + 2 [-128 + -64z] = 3z + 2 Reorder the terms: -128 + -64z = 2 + 3z Solving -128 + -64z = 2 + 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. -128 + -64z + -3z = 2 + 3z + -3z Combine like terms: -64z + -3z = -67z -128 + -67z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 -128 + -67z = 2 + 0 -128 + -67z = 2 Add '128' to each side of the equation. -128 + 128 + -67z = 2 + 128 Combine like terms: -128 + 128 = 0 0 + -67z = 2 + 128 -67z = 2 + 128 Combine like terms: 2 + 128 = 130 -67z = 130 Divide each side by '-67'. z = -1.940298507 Simplifying z = -1.940298507
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