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Simplifying 6z + 5(5 + -1z) = -1(z + -5) + 18 6z + (5 * 5 + -1z * 5) = -1(z + -5) + 18 6z + (25 + -5z) = -1(z + -5) + 18 Reorder the terms: 25 + 6z + -5z = -1(z + -5) + 18 Combine like terms: 6z + -5z = 1z 25 + 1z = -1(z + -5) + 18 Reorder the terms: 25 + 1z = -1(-5 + z) + 18 25 + 1z = (-5 * -1 + z * -1) + 18 25 + 1z = (5 + -1z) + 18 Reorder the terms: 25 + 1z = 5 + 18 + -1z Combine like terms: 5 + 18 = 23 25 + 1z = 23 + -1z Solving 25 + 1z = 23 + -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. 25 + 1z + z = 23 + -1z + z Combine like terms: 1z + z = 2z 25 + 2z = 23 + -1z + z Combine like terms: -1z + z = 0 25 + 2z = 23 + 0 25 + 2z = 23 Add '-25' to each side of the equation. 25 + -25 + 2z = 23 + -25 Combine like terms: 25 + -25 = 0 0 + 2z = 23 + -25 2z = 23 + -25 Combine like terms: 23 + -25 = -2 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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