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Simplifying 5z + -2(z + 3) + 2z = 14 Reorder the terms: 5z + -2(3 + z) + 2z = 14 5z + (3 * -2 + z * -2) + 2z = 14 5z + (-6 + -2z) + 2z = 14 Reorder the terms: -6 + 5z + -2z + 2z = 14 Combine like terms: 5z + -2z = 3z -6 + 3z + 2z = 14 Combine like terms: 3z + 2z = 5z -6 + 5z = 14 Solving -6 + 5z = 14 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5z = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 14 + 6 5z = 14 + 6 Combine like terms: 14 + 6 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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