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Simplifying 2(4z + 1) + -4(5z + -4) + -13z = 0 Reorder the terms: 2(1 + 4z) + -4(5z + -4) + -13z = 0 (1 * 2 + 4z * 2) + -4(5z + -4) + -13z = 0 (2 + 8z) + -4(5z + -4) + -13z = 0 Reorder the terms: 2 + 8z + -4(-4 + 5z) + -13z = 0 2 + 8z + (-4 * -4 + 5z * -4) + -13z = 0 2 + 8z + (16 + -20z) + -13z = 0 Reorder the terms: 2 + 16 + 8z + -20z + -13z = 0 Combine like terms: 2 + 16 = 18 18 + 8z + -20z + -13z = 0 Combine like terms: 8z + -20z = -12z 18 + -12z + -13z = 0 Combine like terms: -12z + -13z = -25z 18 + -25z = 0 Solving 18 + -25z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -25z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -25z = 0 + -18 -25z = 0 + -18 Combine like terms: 0 + -18 = -18 -25z = -18 Divide each side by '-25'. z = 0.72 Simplifying z = 0.72
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