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Simplifying 2(z + 3) = 5z + 15 Reorder the terms: 2(3 + z) = 5z + 15 (3 * 2 + z * 2) = 5z + 15 (6 + 2z) = 5z + 15 Reorder the terms: 6 + 2z = 15 + 5z Solving 6 + 2z = 15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 2z + -5z = 15 + 5z + -5z Combine like terms: 2z + -5z = -3z 6 + -3z = 15 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -3z = 15 + 0 6 + -3z = 15 Add '-6' to each side of the equation. 6 + -6 + -3z = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = 15 + -6 -3z = 15 + -6 Combine like terms: 15 + -6 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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