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Simplifying -3(z + 3) + 4 = 5z + 27 Reorder the terms: -3(3 + z) + 4 = 5z + 27 (3 * -3 + z * -3) + 4 = 5z + 27 (-9 + -3z) + 4 = 5z + 27 Reorder the terms: -9 + 4 + -3z = 5z + 27 Combine like terms: -9 + 4 = -5 -5 + -3z = 5z + 27 Reorder the terms: -5 + -3z = 27 + 5z Solving -5 + -3z = 27 + 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. -5 + -3z + -5z = 27 + 5z + -5z Combine like terms: -3z + -5z = -8z -5 + -8z = 27 + 5z + -5z Combine like terms: 5z + -5z = 0 -5 + -8z = 27 + 0 -5 + -8z = 27 Add '5' to each side of the equation. -5 + 5 + -8z = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -8z = 27 + 5 -8z = 27 + 5 Combine like terms: 27 + 5 = 32 -8z = 32 Divide each side by '-8'. z = -4 Simplifying z = -4
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