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Simplifying 5z + -1(z + -18) = 6 + -1(z + 15) Reorder the terms: 5z + -1(-18 + z) = 6 + -1(z + 15) 5z + (-18 * -1 + z * -1) = 6 + -1(z + 15) 5z + (18 + -1z) = 6 + -1(z + 15) Reorder the terms: 18 + 5z + -1z = 6 + -1(z + 15) Combine like terms: 5z + -1z = 4z 18 + 4z = 6 + -1(z + 15) Reorder the terms: 18 + 4z = 6 + -1(15 + z) 18 + 4z = 6 + (15 * -1 + z * -1) 18 + 4z = 6 + (-15 + -1z) Combine like terms: 6 + -15 = -9 18 + 4z = -9 + -1z Solving 18 + 4z = -9 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 18 + 4z + z = -9 + -1z + z Combine like terms: 4z + z = 5z 18 + 5z = -9 + -1z + z Combine like terms: -1z + z = 0 18 + 5z = -9 + 0 18 + 5z = -9 Add '-18' to each side of the equation. 18 + -18 + 5z = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 5z = -9 + -18 5z = -9 + -18 Combine like terms: -9 + -18 = -27 5z = -27 Divide each side by '5'. z = -5.4 Simplifying z = -5.4
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