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Simplifying 3z + -11 = 2(-1z + 7) Reorder the terms: -11 + 3z = 2(-1z + 7) Reorder the terms: -11 + 3z = 2(7 + -1z) -11 + 3z = (7 * 2 + -1z * 2) -11 + 3z = (14 + -2z) Solving -11 + 3z = 14 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -11 + 3z + 2z = 14 + -2z + 2z Combine like terms: 3z + 2z = 5z -11 + 5z = 14 + -2z + 2z Combine like terms: -2z + 2z = 0 -11 + 5z = 14 + 0 -11 + 5z = 14 Add '11' to each side of the equation. -11 + 11 + 5z = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 5z = 14 + 11 5z = 14 + 11 Combine like terms: 14 + 11 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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