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Simplifying 11z + 2 = 5(z + -2) Reorder the terms: 2 + 11z = 5(z + -2) Reorder the terms: 2 + 11z = 5(-2 + z) 2 + 11z = (-2 * 5 + z * 5) 2 + 11z = (-10 + 5z) Solving 2 + 11z = -10 + 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. 2 + 11z + -5z = -10 + 5z + -5z Combine like terms: 11z + -5z = 6z 2 + 6z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 6z = -10 + 0 2 + 6z = -10 Add '-2' to each side of the equation. 2 + -2 + 6z = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = -10 + -2 6z = -10 + -2 Combine like terms: -10 + -2 = -12 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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