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Simplifying 7z + 5 * 6 = 8z + 7 * 6 Multiply 5 * 6 7z + 30 = 8z + 7 * 6 Reorder the terms: 30 + 7z = 8z + 7 * 6 Multiply 7 * 6 30 + 7z = 8z + 42 Reorder the terms: 30 + 7z = 42 + 8z Solving 30 + 7z = 42 + 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. 30 + 7z + -8z = 42 + 8z + -8z Combine like terms: 7z + -8z = -1z 30 + -1z = 42 + 8z + -8z Combine like terms: 8z + -8z = 0 30 + -1z = 42 + 0 30 + -1z = 42 Add '-30' to each side of the equation. 30 + -30 + -1z = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -1z = 42 + -30 -1z = 42 + -30 Combine like terms: 42 + -30 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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