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Simplifying 6z + -11 = 5 + 5(z + -5) Reorder the terms: -11 + 6z = 5 + 5(z + -5) Reorder the terms: -11 + 6z = 5 + 5(-5 + z) -11 + 6z = 5 + (-5 * 5 + z * 5) -11 + 6z = 5 + (-25 + 5z) Combine like terms: 5 + -25 = -20 -11 + 6z = -20 + 5z Solving -11 + 6z = -20 + 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. -11 + 6z + -5z = -20 + 5z + -5z Combine like terms: 6z + -5z = 1z -11 + 1z = -20 + 5z + -5z Combine like terms: 5z + -5z = 0 -11 + 1z = -20 + 0 -11 + 1z = -20 Add '11' to each side of the equation. -11 + 11 + 1z = -20 + 11 Combine like terms: -11 + 11 = 0 0 + 1z = -20 + 11 1z = -20 + 11 Combine like terms: -20 + 11 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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