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Simplifying 5(z + -3) = 2z + 3 Reorder the terms: 5(-3 + z) = 2z + 3 (-3 * 5 + z * 5) = 2z + 3 (-15 + 5z) = 2z + 3 Reorder the terms: -15 + 5z = 3 + 2z Solving -15 + 5z = 3 + 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 + 5z + -2z = 3 + 2z + -2z Combine like terms: 5z + -2z = 3z -15 + 3z = 3 + 2z + -2z Combine like terms: 2z + -2z = 0 -15 + 3z = 3 + 0 -15 + 3z = 3 Add '15' to each side of the equation. -15 + 15 + 3z = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 3z = 3 + 15 3z = 3 + 15 Combine like terms: 3 + 15 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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