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Simplifying -3(z + 3) + 3 = 6z + 30 Reorder the terms: -3(3 + z) + 3 = 6z + 30 (3 * -3 + z * -3) + 3 = 6z + 30 (-9 + -3z) + 3 = 6z + 30 Reorder the terms: -9 + 3 + -3z = 6z + 30 Combine like terms: -9 + 3 = -6 -6 + -3z = 6z + 30 Reorder the terms: -6 + -3z = 30 + 6z Solving -6 + -3z = 30 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -6 + -3z + -6z = 30 + 6z + -6z Combine like terms: -3z + -6z = -9z -6 + -9z = 30 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -9z = 30 + 0 -6 + -9z = 30 Add '6' to each side of the equation. -6 + 6 + -9z = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -9z = 30 + 6 -9z = 30 + 6 Combine like terms: 30 + 6 = 36 -9z = 36 Divide each side by '-9'. z = -4 Simplifying z = -4
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