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Simplifying [5(z + -5) + 17] + -1[2(5z + -3) + 5] = 0 Reorder the terms: [5(-5 + z) + 17] + -1[2(5z + -3) + 5] = 0 [(-5 * 5 + z * 5) + 17] + -1[2(5z + -3) + 5] = 0 [(-25 + 5z) + 17] + -1[2(5z + -3) + 5] = 0 Reorder the terms: [-25 + 17 + 5z] + -1[2(5z + -3) + 5] = 0 Combine like terms: -25 + 17 = -8 [-8 + 5z] + -1[2(5z + -3) + 5] = 0 Remove brackets around [-8 + 5z] -8 + 5z + -1[2(5z + -3) + 5] = 0 Reorder the terms: -8 + 5z + -1[2(-3 + 5z) + 5] = 0 -8 + 5z + -1[(-3 * 2 + 5z * 2) + 5] = 0 -8 + 5z + -1[(-6 + 10z) + 5] = 0 Reorder the terms: -8 + 5z + -1[-6 + 5 + 10z] = 0 Combine like terms: -6 + 5 = -1 -8 + 5z + -1[-1 + 10z] = 0 -8 + 5z + [-1 * -1 + 10z * -1] = 0 -8 + 5z + [1 + -10z] = 0 Reorder the terms: -8 + 1 + 5z + -10z = 0 Combine like terms: -8 + 1 = -7 -7 + 5z + -10z = 0 Combine like terms: 5z + -10z = -5z -7 + -5z = 0 Solving -7 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = 0 + 7 -5z = 0 + 7 Combine like terms: 0 + 7 = 7 -5z = 7 Divide each side by '-5'. z = -1.4 Simplifying z = -1.4
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