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Simplifying 5z + 1(9) = 6z + 7(9) Multiply 1 * 9 5z + 9 = 6z + 7(9) Reorder the terms: 9 + 5z = 6z + 7(9) Multiply 7 * 9 9 + 5z = 6z + 63 Reorder the terms: 9 + 5z = 63 + 6z Solving 9 + 5z = 63 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 9 + 5z + -6z = 63 + 6z + -6z Combine like terms: 5z + -6z = -1z 9 + -1z = 63 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + -1z = 63 + 0 9 + -1z = 63 Add '-9' to each side of the equation. 9 + -9 + -1z = 63 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 63 + -9 -1z = 63 + -9 Combine like terms: 63 + -9 = 54 -1z = 54 Divide each side by '-1'. z = -54 Simplifying z = -54
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