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Simplifying 5z + 4(6 + -1z) = -1(z + -5) * 11 5z + (6 * 4 + -1z * 4) = -1(z + -5) * 11 5z + (24 + -4z) = -1(z + -5) * 11 Reorder the terms: 24 + 5z + -4z = -1(z + -5) * 11 Combine like terms: 5z + -4z = 1z 24 + 1z = -1(z + -5) * 11 Reorder the terms: 24 + 1z = -1(-5 + z) * 11 Reorder the terms for easier multiplication: 24 + 1z = -1 * 11(-5 + z) Multiply -1 * 11 24 + 1z = -11(-5 + z) 24 + 1z = (-5 * -11 + z * -11) 24 + 1z = (55 + -11z) Solving 24 + 1z = 55 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. 24 + 1z + 11z = 55 + -11z + 11z Combine like terms: 1z + 11z = 12z 24 + 12z = 55 + -11z + 11z Combine like terms: -11z + 11z = 0 24 + 12z = 55 + 0 24 + 12z = 55 Add '-24' to each side of the equation. 24 + -24 + 12z = 55 + -24 Combine like terms: 24 + -24 = 0 0 + 12z = 55 + -24 12z = 55 + -24 Combine like terms: 55 + -24 = 31 12z = 31 Divide each side by '12'. z = 2.583333333 Simplifying z = 2.583333333
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