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Simplifying 3 + 4z = -6(-1z + -4) + 5(4z + 1) Reorder the terms: 3 + 4z = -6(-4 + -1z) + 5(4z + 1) 3 + 4z = (-4 * -6 + -1z * -6) + 5(4z + 1) 3 + 4z = (24 + 6z) + 5(4z + 1) Reorder the terms: 3 + 4z = 24 + 6z + 5(1 + 4z) 3 + 4z = 24 + 6z + (1 * 5 + 4z * 5) 3 + 4z = 24 + 6z + (5 + 20z) Reorder the terms: 3 + 4z = 24 + 5 + 6z + 20z Combine like terms: 24 + 5 = 29 3 + 4z = 29 + 6z + 20z Combine like terms: 6z + 20z = 26z 3 + 4z = 29 + 26z Solving 3 + 4z = 29 + 26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26z' to each side of the equation. 3 + 4z + -26z = 29 + 26z + -26z Combine like terms: 4z + -26z = -22z 3 + -22z = 29 + 26z + -26z Combine like terms: 26z + -26z = 0 3 + -22z = 29 + 0 3 + -22z = 29 Add '-3' to each side of the equation. 3 + -3 + -22z = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -22z = 29 + -3 -22z = 29 + -3 Combine like terms: 29 + -3 = 26 -22z = 26 Divide each side by '-22'. z = -1.181818182 Simplifying z = -1.181818182
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