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Simplifying 7(2z + -2) = 11z + 1 Reorder the terms: 7(-2 + 2z) = 11z + 1 (-2 * 7 + 2z * 7) = 11z + 1 (-14 + 14z) = 11z + 1 Reorder the terms: -14 + 14z = 1 + 11z Solving -14 + 14z = 1 + 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. -14 + 14z + -11z = 1 + 11z + -11z Combine like terms: 14z + -11z = 3z -14 + 3z = 1 + 11z + -11z Combine like terms: 11z + -11z = 0 -14 + 3z = 1 + 0 -14 + 3z = 1 Add '14' to each side of the equation. -14 + 14 + 3z = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3z = 1 + 14 3z = 1 + 14 Combine like terms: 1 + 14 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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