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Simplifying 5(z + 5) + -1(-9z + -6) = 13z Reorder the terms: 5(5 + z) + -1(-9z + -6) = 13z (5 * 5 + z * 5) + -1(-9z + -6) = 13z (25 + 5z) + -1(-9z + -6) = 13z Reorder the terms: 25 + 5z + -1(-6 + -9z) = 13z 25 + 5z + (-6 * -1 + -9z * -1) = 13z 25 + 5z + (6 + 9z) = 13z Reorder the terms: 25 + 6 + 5z + 9z = 13z Combine like terms: 25 + 6 = 31 31 + 5z + 9z = 13z Combine like terms: 5z + 9z = 14z 31 + 14z = 13z Solving 31 + 14z = 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 31 + 14z + -13z = 13z + -13z Combine like terms: 14z + -13z = 1z 31 + 1z = 13z + -13z Combine like terms: 13z + -13z = 0 31 + 1z = 0 Add '-31' to each side of the equation. 31 + -31 + 1z = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1z = 0 + -31 1z = 0 + -31 Combine like terms: 0 + -31 = -31 1z = -31 Divide each side by '1'. z = -31 Simplifying z = -31
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