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Simplifying 9(z + 7) + -1(3z + -4) = 5z Reorder the terms: 9(7 + z) + -1(3z + -4) = 5z (7 * 9 + z * 9) + -1(3z + -4) = 5z (63 + 9z) + -1(3z + -4) = 5z Reorder the terms: 63 + 9z + -1(-4 + 3z) = 5z 63 + 9z + (-4 * -1 + 3z * -1) = 5z 63 + 9z + (4 + -3z) = 5z Reorder the terms: 63 + 4 + 9z + -3z = 5z Combine like terms: 63 + 4 = 67 67 + 9z + -3z = 5z Combine like terms: 9z + -3z = 6z 67 + 6z = 5z Solving 67 + 6z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 67 + 6z + -5z = 5z + -5z Combine like terms: 6z + -5z = 1z 67 + 1z = 5z + -5z Combine like terms: 5z + -5z = 0 67 + 1z = 0 Add '-67' to each side of the equation. 67 + -67 + 1z = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 1z = 0 + -67 1z = 0 + -67 Combine like terms: 0 + -67 = -67 1z = -67 Divide each side by '1'. z = -67 Simplifying z = -67
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