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Simplifying (z + 4) + -1(5 + -3z) + -32 = 0 Reorder the terms: (4 + z) + -1(5 + -3z) + -32 = 0 Remove parenthesis around (4 + z) 4 + z + -1(5 + -3z) + -32 = 0 4 + z + (5 * -1 + -3z * -1) + -32 = 0 4 + z + (-5 + 3z) + -32 = 0 Reorder the terms: 4 + -5 + -32 + z + 3z = 0 Combine like terms: 4 + -5 = -1 -1 + -32 + z + 3z = 0 Combine like terms: -1 + -32 = -33 -33 + z + 3z = 0 Combine like terms: z + 3z = 4z -33 + 4z = 0 Solving -33 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4z = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4z = 0 + 33 4z = 0 + 33 Combine like terms: 0 + 33 = 33 4z = 33 Divide each side by '4'. z = 8.25 Simplifying z = 8.25
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