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Simplifying 2z + 10 = 3(z + 5) Reorder the terms: 10 + 2z = 3(z + 5) Reorder the terms: 10 + 2z = 3(5 + z) 10 + 2z = (5 * 3 + z * 3) 10 + 2z = (15 + 3z) Solving 10 + 2z = 15 + 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 = 15 + 3z + -3z Combine like terms: 2z + -3z = -1z 10 + -1z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + -1z = 15 + 0 10 + -1z = 15 Add '-10' to each side of the equation. 10 + -10 + -1z = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 15 + -10 -1z = 15 + -10 Combine like terms: 15 + -10 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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