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