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Simplifying 5z + -2[3z + -1(z + -9)] = 20 Reorder the terms: 5z + -2[3z + -1(-9 + z)] = 20 5z + -2[3z + (-9 * -1 + z * -1)] = 20 5z + -2[3z + (9 + -1z)] = 20 Reorder the terms: 5z + -2[9 + 3z + -1z] = 20 Combine like terms: 3z + -1z = 2z 5z + -2[9 + 2z] = 20 5z + [9 * -2 + 2z * -2] = 20 5z + [-18 + -4z] = 20 Reorder the terms: -18 + 5z + -4z = 20 Combine like terms: 5z + -4z = 1z -18 + 1z = 20 Solving -18 + 1z = 20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1z = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 20 + 18 1z = 20 + 18 Combine like terms: 20 + 18 = 38 1z = 38 Divide each side by '1'. z = 38 Simplifying z = 38
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