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Simplifying -3(z + 3) + 4 = 7z + 5 Reorder the terms: -3(3 + z) + 4 = 7z + 5 (3 * -3 + z * -3) + 4 = 7z + 5 (-9 + -3z) + 4 = 7z + 5 Reorder the terms: -9 + 4 + -3z = 7z + 5 Combine like terms: -9 + 4 = -5 -5 + -3z = 7z + 5 Reorder the terms: -5 + -3z = 5 + 7z Solving -5 + -3z = 5 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -5 + -3z + -7z = 5 + 7z + -7z Combine like terms: -3z + -7z = -10z -5 + -10z = 5 + 7z + -7z Combine like terms: 7z + -7z = 0 -5 + -10z = 5 + 0 -5 + -10z = 5 Add '5' to each side of the equation. -5 + 5 + -10z = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -10z = 5 + 5 -10z = 5 + 5 Combine like terms: 5 + 5 = 10 -10z = 10 Divide each side by '-10'. z = -1 Simplifying z = -1
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