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Simplifying 3(z + -5) = 2z + 13 Reorder the terms: 3(-5 + z) = 2z + 13 (-5 * 3 + z * 3) = 2z + 13 (-15 + 3z) = 2z + 13 Reorder the terms: -15 + 3z = 13 + 2z Solving -15 + 3z = 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 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z -15 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 -15 + 1z = 13 + 0 -15 + 1z = 13 Add '15' to each side of the equation. -15 + 15 + 1z = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 13 + 15 1z = 13 + 15 Combine like terms: 13 + 15 = 28 1z = 28 Divide each side by '1'. z = 28 Simplifying z = 28
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