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Simplifying z + 16 + -6z + -12 = 8(z + -32) Reorder the terms: 16 + -12 + z + -6z = 8(z + -32) Combine like terms: 16 + -12 = 4 4 + z + -6z = 8(z + -32) Combine like terms: z + -6z = -5z 4 + -5z = 8(z + -32) Reorder the terms: 4 + -5z = 8(-32 + z) 4 + -5z = (-32 * 8 + z * 8) 4 + -5z = (-256 + 8z) Solving 4 + -5z = -256 + 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. 4 + -5z + -8z = -256 + 8z + -8z Combine like terms: -5z + -8z = -13z 4 + -13z = -256 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -13z = -256 + 0 4 + -13z = -256 Add '-4' to each side of the equation. 4 + -4 + -13z = -256 + -4 Combine like terms: 4 + -4 = 0 0 + -13z = -256 + -4 -13z = -256 + -4 Combine like terms: -256 + -4 = -260 -13z = -260 Divide each side by '-13'. z = 20 Simplifying z = 20
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