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Simplifying 4z + 2(z + 4) = z + 1 Reorder the terms: 4z + 2(4 + z) = z + 1 4z + (4 * 2 + z * 2) = z + 1 4z + (8 + 2z) = z + 1 Reorder the terms: 8 + 4z + 2z = z + 1 Combine like terms: 4z + 2z = 6z 8 + 6z = z + 1 Reorder the terms: 8 + 6z = 1 + z Solving 8 + 6z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 8 + 6z + -1z = 1 + z + -1z Combine like terms: 6z + -1z = 5z 8 + 5z = 1 + z + -1z Combine like terms: z + -1z = 0 8 + 5z = 1 + 0 8 + 5z = 1 Add '-8' to each side of the equation. 8 + -8 + 5z = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 1 + -8 5z = 1 + -8 Combine like terms: 1 + -8 = -7 5z = -7 Divide each side by '5'. z = -1.4 Simplifying z = -1.4
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