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Simplifying 3(z + -3) = 5(z + 3) + -12 Reorder the terms: 3(-3 + z) = 5(z + 3) + -12 (-3 * 3 + z * 3) = 5(z + 3) + -12 (-9 + 3z) = 5(z + 3) + -12 Reorder the terms: -9 + 3z = 5(3 + z) + -12 -9 + 3z = (3 * 5 + z * 5) + -12 -9 + 3z = (15 + 5z) + -12 Reorder the terms: -9 + 3z = 15 + -12 + 5z Combine like terms: 15 + -12 = 3 -9 + 3z = 3 + 5z Solving -9 + 3z = 3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -9 + 3z + -5z = 3 + 5z + -5z Combine like terms: 3z + -5z = -2z -9 + -2z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 -9 + -2z = 3 + 0 -9 + -2z = 3 Add '9' to each side of the equation. -9 + 9 + -2z = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 3 + 9 -2z = 3 + 9 Combine like terms: 3 + 9 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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