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Simplifying -4(z + 4) + 9 = 4z + 17 Reorder the terms: -4(4 + z) + 9 = 4z + 17 (4 * -4 + z * -4) + 9 = 4z + 17 (-16 + -4z) + 9 = 4z + 17 Reorder the terms: -16 + 9 + -4z = 4z + 17 Combine like terms: -16 + 9 = -7 -7 + -4z = 4z + 17 Reorder the terms: -7 + -4z = 17 + 4z Solving -7 + -4z = 17 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -7 + -4z + -4z = 17 + 4z + -4z Combine like terms: -4z + -4z = -8z -7 + -8z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 -7 + -8z = 17 + 0 -7 + -8z = 17 Add '7' to each side of the equation. -7 + 7 + -8z = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -8z = 17 + 7 -8z = 17 + 7 Combine like terms: 17 + 7 = 24 -8z = 24 Divide each side by '-8'. z = -3 Simplifying z = -3
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