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Simplifying 9[5(z + -5) + 18] + -1[3(5z + -3) + 3] = 0 Reorder the terms: 9[5(-5 + z) + 18] + -1[3(5z + -3) + 3] = 0 9[(-5 * 5 + z * 5) + 18] + -1[3(5z + -3) + 3] = 0 9[(-25 + 5z) + 18] + -1[3(5z + -3) + 3] = 0 Reorder the terms: 9[-25 + 18 + 5z] + -1[3(5z + -3) + 3] = 0 Combine like terms: -25 + 18 = -7 9[-7 + 5z] + -1[3(5z + -3) + 3] = 0 [-7 * 9 + 5z * 9] + -1[3(5z + -3) + 3] = 0 [-63 + 45z] + -1[3(5z + -3) + 3] = 0 Reorder the terms: -63 + 45z + -1[3(-3 + 5z) + 3] = 0 -63 + 45z + -1[(-3 * 3 + 5z * 3) + 3] = 0 -63 + 45z + -1[(-9 + 15z) + 3] = 0 Reorder the terms: -63 + 45z + -1[-9 + 3 + 15z] = 0 Combine like terms: -9 + 3 = -6 -63 + 45z + -1[-6 + 15z] = 0 -63 + 45z + [-6 * -1 + 15z * -1] = 0 -63 + 45z + [6 + -15z] = 0 Reorder the terms: -63 + 6 + 45z + -15z = 0 Combine like terms: -63 + 6 = -57 -57 + 45z + -15z = 0 Combine like terms: 45z + -15z = 30z -57 + 30z = 0 Solving -57 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 30z = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 30z = 0 + 57 30z = 0 + 57 Combine like terms: 0 + 57 = 57 30z = 57 Divide each side by '30'. z = 1.9 Simplifying z = 1.9
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