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Simplifying 9[(z + 4) + -17] + -1[2(z + -3) + 2] = 0 Reorder the terms: 9[(4 + z) + -17] + -1[2(z + -3) + 2] = 0 Remove parenthesis around (4 + z) 9[4 + z + -17] + -1[2(z + -3) + 2] = 0 Reorder the terms: 9[4 + -17 + z] + -1[2(z + -3) + 2] = 0 Combine like terms: 4 + -17 = -13 9[-13 + z] + -1[2(z + -3) + 2] = 0 [-13 * 9 + z * 9] + -1[2(z + -3) + 2] = 0 [-117 + 9z] + -1[2(z + -3) + 2] = 0 Reorder the terms: -117 + 9z + -1[2(-3 + z) + 2] = 0 -117 + 9z + -1[(-3 * 2 + z * 2) + 2] = 0 -117 + 9z + -1[(-6 + 2z) + 2] = 0 Reorder the terms: -117 + 9z + -1[-6 + 2 + 2z] = 0 Combine like terms: -6 + 2 = -4 -117 + 9z + -1[-4 + 2z] = 0 -117 + 9z + [-4 * -1 + 2z * -1] = 0 -117 + 9z + [4 + -2z] = 0 Reorder the terms: -117 + 4 + 9z + -2z = 0 Combine like terms: -117 + 4 = -113 -113 + 9z + -2z = 0 Combine like terms: 9z + -2z = 7z -113 + 7z = 0 Solving -113 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '113' to each side of the equation. -113 + 113 + 7z = 0 + 113 Combine like terms: -113 + 113 = 0 0 + 7z = 0 + 113 7z = 0 + 113 Combine like terms: 0 + 113 = 113 7z = 113 Divide each side by '7'. z = 16.14285714 Simplifying z = 16.14285714
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