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Simplifying -3(z + 3) + 2 = 5z + 9 Reorder the terms: -3(3 + z) + 2 = 5z + 9 (3 * -3 + z * -3) + 2 = 5z + 9 (-9 + -3z) + 2 = 5z + 9 Reorder the terms: -9 + 2 + -3z = 5z + 9 Combine like terms: -9 + 2 = -7 -7 + -3z = 5z + 9 Reorder the terms: -7 + -3z = 9 + 5z Solving -7 + -3z = 9 + 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. -7 + -3z + -5z = 9 + 5z + -5z Combine like terms: -3z + -5z = -8z -7 + -8z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 -7 + -8z = 9 + 0 -7 + -8z = 9 Add '7' to each side of the equation. -7 + 7 + -8z = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8z = 9 + 7 -8z = 9 + 7 Combine like terms: 9 + 7 = 16 -8z = 16 Divide each side by '-8'. z = -2 Simplifying z = -2
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