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Simplifying 10(6) = z + -8(4) Multiply 10 * 6 60 = z + -8(4) Multiply -8 * 4 60 = z + -32 Reorder the terms: 60 = -32 + z Solving 60 = -32 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 60 + -1z = -32 + z + -1z Combine like terms: z + -1z = 0 60 + -1z = -32 + 0 60 + -1z = -32 Add '-60' to each side of the equation. 60 + -60 + -1z = -32 + -60 Combine like terms: 60 + -60 = 0 0 + -1z = -32 + -60 -1z = -32 + -60 Combine like terms: -32 + -60 = -92 -1z = -92 Divide each side by '-1'. z = 92 Simplifying z = 92
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