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Simplifying 2(z + 4) = 3z + -11 Reorder the terms: 2(4 + z) = 3z + -11 (4 * 2 + z * 2) = 3z + -11 (8 + 2z) = 3z + -11 Reorder the terms: 8 + 2z = -11 + 3z Solving 8 + 2z = -11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + 2z + -3z = -11 + 3z + -3z Combine like terms: 2z + -3z = -1z 8 + -1z = -11 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -1z = -11 + 0 8 + -1z = -11 Add '-8' to each side of the equation. 8 + -8 + -1z = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -11 + -8 -1z = -11 + -8 Combine like terms: -11 + -8 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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