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Simplifying 2(z + 5) = 3z + 14 Reorder the terms: 2(5 + z) = 3z + 14 (5 * 2 + z * 2) = 3z + 14 (10 + 2z) = 3z + 14 Reorder the terms: 10 + 2z = 14 + 3z Solving 10 + 2z = 14 + 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. 10 + 2z + -3z = 14 + 3z + -3z Combine like terms: 2z + -3z = -1z 10 + -1z = 14 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + -1z = 14 + 0 10 + -1z = 14 Add '-10' to each side of the equation. 10 + -10 + -1z = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 14 + -10 -1z = 14 + -10 Combine like terms: 14 + -10 = 4 -1z = 4 Divide each side by '-1'. z = -4 Simplifying z = -4
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