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Simplifying 5(z + 2) + 8 + -3z = 48 Reorder the terms: 5(2 + z) + 8 + -3z = 48 (2 * 5 + z * 5) + 8 + -3z = 48 (10 + 5z) + 8 + -3z = 48 Reorder the terms: 10 + 8 + 5z + -3z = 48 Combine like terms: 10 + 8 = 18 18 + 5z + -3z = 48 Combine like terms: 5z + -3z = 2z 18 + 2z = 48 Solving 18 + 2z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2z = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = 48 + -18 2z = 48 + -18 Combine like terms: 48 + -18 = 30 2z = 30 Divide each side by '2'. z = 15 Simplifying z = 15
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