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Simplifying -4(z + 4) + 9 = 5z + 20 Reorder the terms: -4(4 + z) + 9 = 5z + 20 (4 * -4 + z * -4) + 9 = 5z + 20 (-16 + -4z) + 9 = 5z + 20 Reorder the terms: -16 + 9 + -4z = 5z + 20 Combine like terms: -16 + 9 = -7 -7 + -4z = 5z + 20 Reorder the terms: -7 + -4z = 20 + 5z Solving -7 + -4z = 20 + 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 + -4z + -5z = 20 + 5z + -5z Combine like terms: -4z + -5z = -9z -7 + -9z = 20 + 5z + -5z Combine like terms: 5z + -5z = 0 -7 + -9z = 20 + 0 -7 + -9z = 20 Add '7' to each side of the equation. -7 + 7 + -9z = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -9z = 20 + 7 -9z = 20 + 7 Combine like terms: 20 + 7 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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