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Simplifying z + -4 + -5(z + -3) + 3(4z + 1) = 0 Reorder the terms: z + -4 + -5(-3 + z) + 3(4z + 1) = 0 z + -4 + (-3 * -5 + z * -5) + 3(4z + 1) = 0 z + -4 + (15 + -5z) + 3(4z + 1) = 0 Reorder the terms: z + -4 + 15 + -5z + 3(1 + 4z) = 0 z + -4 + 15 + -5z + (1 * 3 + 4z * 3) = 0 z + -4 + 15 + -5z + (3 + 12z) = 0 Reorder the terms: -4 + 15 + 3 + z + -5z + 12z = 0 Combine like terms: -4 + 15 = 11 11 + 3 + z + -5z + 12z = 0 Combine like terms: 11 + 3 = 14 14 + z + -5z + 12z = 0 Combine like terms: z + -5z = -4z 14 + -4z + 12z = 0 Combine like terms: -4z + 12z = 8z 14 + 8z = 0 Solving 14 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8z = 0 + -14 8z = 0 + -14 Combine like terms: 0 + -14 = -14 8z = -14 Divide each side by '8'. z = -1.75 Simplifying z = -1.75
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