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Simplifying 13 + 2(4 + -1z) + 5z = 0 13 + (4 * 2 + -1z * 2) + 5z = 0 13 + (8 + -2z) + 5z = 0 Combine like terms: 13 + 8 = 21 21 + -2z + 5z = 0 Combine like terms: -2z + 5z = 3z 21 + 3z = 0 Solving 21 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3z = 0 + -21 3z = 0 + -21 Combine like terms: 0 + -21 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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