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Simplifying 5(z + -3) = 9z + 21 Reorder the terms: 5(-3 + z) = 9z + 21 (-3 * 5 + z * 5) = 9z + 21 (-15 + 5z) = 9z + 21 Reorder the terms: -15 + 5z = 21 + 9z Solving -15 + 5z = 21 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -15 + 5z + -9z = 21 + 9z + -9z Combine like terms: 5z + -9z = -4z -15 + -4z = 21 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 + -4z = 21 + 0 -15 + -4z = 21 Add '15' to each side of the equation. -15 + 15 + -4z = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -4z = 21 + 15 -4z = 21 + 15 Combine like terms: 21 + 15 = 36 -4z = 36 Divide each side by '-4'. z = -9 Simplifying z = -9
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