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Simplifying -5z + -32 = 4(2z + 5) Reorder the terms: -32 + -5z = 4(2z + 5) Reorder the terms: -32 + -5z = 4(5 + 2z) -32 + -5z = (5 * 4 + 2z * 4) -32 + -5z = (20 + 8z) Solving -32 + -5z = 20 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -32 + -5z + -8z = 20 + 8z + -8z Combine like terms: -5z + -8z = -13z -32 + -13z = 20 + 8z + -8z Combine like terms: 8z + -8z = 0 -32 + -13z = 20 + 0 -32 + -13z = 20 Add '32' to each side of the equation. -32 + 32 + -13z = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -13z = 20 + 32 -13z = 20 + 32 Combine like terms: 20 + 32 = 52 -13z = 52 Divide each side by '-13'. z = -4 Simplifying z = -4
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