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Simplifying 5(z + 6) + -1(9 + -8z) = 12z Reorder the terms: 5(6 + z) + -1(9 + -8z) = 12z (6 * 5 + z * 5) + -1(9 + -8z) = 12z (30 + 5z) + -1(9 + -8z) = 12z 30 + 5z + (9 * -1 + -8z * -1) = 12z 30 + 5z + (-9 + 8z) = 12z Reorder the terms: 30 + -9 + 5z + 8z = 12z Combine like terms: 30 + -9 = 21 21 + 5z + 8z = 12z Combine like terms: 5z + 8z = 13z 21 + 13z = 12z Solving 21 + 13z = 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 21 + 13z + -12z = 12z + -12z Combine like terms: 13z + -12z = 1z 21 + 1z = 12z + -12z Combine like terms: 12z + -12z = 0 21 + 1z = 0 Add '-21' to each side of the equation. 21 + -21 + 1z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1z = 0 + -21 1z = 0 + -21 Combine like terms: 0 + -21 = -21 1z = -21 Divide each side by '1'. z = -21 Simplifying z = -21
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