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Simplifying 3z + -1(z + 4) = 5z + -11 Reorder the terms: 3z + -1(4 + z) = 5z + -11 3z + (4 * -1 + z * -1) = 5z + -11 3z + (-4 + -1z) = 5z + -11 Reorder the terms: -4 + 3z + -1z = 5z + -11 Combine like terms: 3z + -1z = 2z -4 + 2z = 5z + -11 Reorder the terms: -4 + 2z = -11 + 5z Solving -4 + 2z = -11 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4 + 2z + -5z = -11 + 5z + -5z Combine like terms: 2z + -5z = -3z -4 + -3z = -11 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -3z = -11 + 0 -4 + -3z = -11 Add '4' to each side of the equation. -4 + 4 + -3z = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = -11 + 4 -3z = -11 + 4 Combine like terms: -11 + 4 = -7 -3z = -7 Divide each side by '-3'. z = 2.333333333 Simplifying z = 2.333333333
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