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Simplifying -3(z + 3) + 4 = 6z + 4 Reorder the terms: -3(3 + z) + 4 = 6z + 4 (3 * -3 + z * -3) + 4 = 6z + 4 (-9 + -3z) + 4 = 6z + 4 Reorder the terms: -9 + 4 + -3z = 6z + 4 Combine like terms: -9 + 4 = -5 -5 + -3z = 6z + 4 Reorder the terms: -5 + -3z = 4 + 6z Solving -5 + -3z = 4 + 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. -5 + -3z + -6z = 4 + 6z + -6z Combine like terms: -3z + -6z = -9z -5 + -9z = 4 + 6z + -6z Combine like terms: 6z + -6z = 0 -5 + -9z = 4 + 0 -5 + -9z = 4 Add '5' to each side of the equation. -5 + 5 + -9z = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -9z = 4 + 5 -9z = 4 + 5 Combine like terms: 4 + 5 = 9 -9z = 9 Divide each side by '-9'. z = -1 Simplifying z = -1
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