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Simplifying 3(2z + -5) = 2z + 13 Reorder the terms: 3(-5 + 2z) = 2z + 13 (-5 * 3 + 2z * 3) = 2z + 13 (-15 + 6z) = 2z + 13 Reorder the terms: -15 + 6z = 13 + 2z Solving -15 + 6z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -15 + 6z + -2z = 13 + 2z + -2z Combine like terms: 6z + -2z = 4z -15 + 4z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 -15 + 4z = 13 + 0 -15 + 4z = 13 Add '15' to each side of the equation. -15 + 15 + 4z = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 13 + 15 4z = 13 + 15 Combine like terms: 13 + 15 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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